Search a number
-
+
233120042442 = 23371932458931
BaseRepresentation
bin1101100100011100001…
…0011000110111001010
3211021201112111011111000
43121013002120313022
512304412212324232
6255032135315430
722561634444340
oct3310702306712
9737645434430
10233120042442
118a958206301
123921b51bb76
1318ca1c08b21
14b3d6a5d990
1560e5e5527c
hex3647098dca

233120042442 has 64 divisors (see below), whose sum is σ = 623211494400. Its totient is φ = 63100159920.

The previous prime is 233120042431. The next prime is 233120042459. The reversal of 233120042442 is 244240021332.

233120042442 is a `hidden beast` number, since 2 + 3 + 31 + 200 + 424 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16222284 + ... + 16236647.

It is an arithmetic number, because the mean of its divisors is an integer number (9737679600).

Almost surely, 2233120042442 is an apocalyptic number.

233120042442 is an abundant number, since it is smaller than the sum of its proper divisors (390091451958).

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

233120042442 is a wasteful number, since it uses less digits than its factorization.

233120042442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32458968 (or 32458962 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 233120042442 its reverse (244240021332), we get a palindrome (477360063774).

The spelling of 233120042442 in words is "two hundred thirty-three billion, one hundred twenty million, forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 7182 32458931 64917862 97376793 194753586 227212517 292130379 454425034 584260758 616719689 681637551 876391137 1233439378 1363275102 1752782274 1850159067 2044912653 3700318134 4089825306 4317037823 5550477201 6134737959 8634075646 11100954402 12269475918 12951113469 16651431603 25902226938 33302863206 38853340407 77706680814 116560021221 233120042442