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541442333432 = 2371113265725447
BaseRepresentation
bin1111110000100000111…
…10100101101011111000
31220202120001021101020202
413320100132211223320
532332333214132212
61052422444141332
754055305620030
oct7702036455370
91822501241222
10541442333432
11199696099a40
1288b27b37848
133c099c81770
141c2c51a28c0
15e13e0730c2
hex7e107a5af8

541442333432 has 128 divisors (see below), whose sum is σ = 1363638205440. Its totient is φ = 194643578880.

The previous prime is 541442333401. The next prime is 541442333449. The reversal of 541442333432 is 234333244145.

It is a congruent number.

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, 21264533 + ... + 21289979.

It is an arithmetic number, because the mean of its divisors is an integer number (10653423480).

Almost surely, 2541442333432 is an apocalyptic number.

541442333432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541442333432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681819102720).

541442333432 is an abundant number, since it is smaller than the sum of its proper divisors (822195872008).

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

541442333432 is a wasteful number, since it uses less digits than its factorization.

541442333432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28141 (or 28137 counting only the distinct ones).

The product of its digits is 414720, while the sum is 38.

Adding to 541442333432 its reverse (234333244145), we get a palindrome (775775577577).

The spelling of 541442333432 in words is "five hundred forty-one billion, four hundred forty-two million, three hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 2657 4004 5314 8008 10628 18599 21256 25447 29227 34541 37198 50894 58454 69082 74396 101788 116908 138164 148792 178129 203576 204589 233816 241787 276328 279917 330811 356258 379951 409178 483574 559834 661622 712516 759902 818356 967148 1119668 1323244 1425032 1519804 1636712 1934296 1959419 2239336 2315677 2646488 2659657 3039608 3638921 3918838 4631354 5319314 7277842 7837676 9262708 10638628 14555684 15675352 18525416 21277256 25472447 29111368 50944894 67612679 101889788 135225358 203779576 270450716 473288753 540901432 743739469 878964827 946577506 1487478938 1757929654 1893155012 2974957876 3515859308 3786310024 5206176283 5949915752 6152753789 7031718616 9668613097 10412352566 12305507578 19337226194 20824705132 24611015156 38674452388 41649410264 49222030312 67680291679 77348904776 135360583358 270721166716 541442333432