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145010142450 = 23252618363647
BaseRepresentation
bin1000011100001101000…
…1110010110011110010
3111212022000011111010200
42013003101302303302
54333440044024300
6150341114340030
713322325605415
oct2070321626362
9455260144120
10145010142450
1156553499338
122412b72a616
131089c862224
147038badb7c
153b8a9cd200
hex21c3472cf2

145010142450 has 144 divisors (see below), whose sum is σ = 400757849856. Its totient is φ = 37576598400.

The previous prime is 145010142437. The next prime is 145010142457. The reversal of 145010142450 is 54241010541.

145010142450 is a `hidden beast` number, since 14 + 50 + 10 + 142 + 450 = 666.

It is not an unprimeable number, because it can be changed into a prime (145010142457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2246527 + ... + 2310173.

It is an arithmetic number, because the mean of its divisors is an integer number (2783040624).

Almost surely, 2145010142450 is an apocalyptic number.

145010142450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145010142450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200378924928).

145010142450 is an abundant number, since it is smaller than the sum of its proper divisors (255747707406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145010142450 is a wasteful number, since it uses less digits than its factorization.

145010142450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63809 (or 63801 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 145010142450 its reverse (54241010541), we get a palindrome (199251152991).

The spelling of 145010142450 in words is "one hundred forty-five billion, ten million, one hundred forty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 61 75 83 90 122 150 166 183 225 249 305 366 415 450 498 549 610 747 830 915 1098 1245 1494 1525 1830 2075 2490 2745 3050 3735 4150 4575 5063 5490 6225 7470 9150 10126 12450 13725 15189 18675 25315 27450 30378 37350 45567 50630 63647 75945 91134 126575 127294 151890 190941 227835 253150 318235 379725 381882 455670 572823 636470 759450 954705 1139175 1145646 1591175 1909410 2278350 2864115 3182350 3882467 4773525 5282701 5728230 7764934 9547050 10565402 11647401 14320575 15848103 19412335 23294802 26413505 28641150 31696206 34942203 38824670 47544309 52827010 58237005 69884406 79240515 95088618 97061675 116474010 132067525 158481030 174711015 194123350 237721545 264135050 291185025 322244761 349422030 396202575 475443090 582370050 644489522 792405150 873555075 966734283 1188607725 1611223805 1747110150 1933468566 2377215450 2900202849 3222447610 4833671415 5800405698 8056119025 9667342830 14501014245 16112238050 24168357075 29002028490 48336714150 72505071225 145010142450