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141225431168 = 2717212173137
BaseRepresentation
bin1000001110000110110…
…0010001000010000000
3111111112020120020021202
42003201230101002000
54303212202244133
6144513355040332
713126461233633
oct2034154210200
9444466506252
10141225431168
115499108a778
12234541400a8
131041871b9b3
146b9a29bc1a
153a185d22e8
hex20e1b11080

141225431168 has 96 divisors (see below), whose sum is σ = 299211845940. Its totient is φ = 66383249408.

The previous prime is 141225431167. The next prime is 141225431213. The reversal of 141225431168 is 861134522141.

It can be written as a sum of positive squares in 6 ways, for example, as 135712665664 + 5512765504 = 368392^2 + 74248^2 .

It is not an unprimeable number, because it can be changed into a prime (141225431167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45017696 + ... + 45020832.

Almost surely, 2141225431168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141225431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149605922970).

141225431168 is an abundant number, since it is smaller than the sum of its proper divisors (157986414772).

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

141225431168 is a wasteful number, since it uses less digits than its factorization.

141225431168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4373 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The spelling of 141225431168 in words is "one hundred forty-one billion, two hundred twenty-five million, four hundred thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 544 578 1088 1156 1217 2176 2312 2434 3137 4624 4868 6274 9248 9736 12548 18496 19472 20689 25096 36992 38944 41378 50192 53329 77888 82756 100384 106658 155776 165512 200768 213316 331024 351713 401536 426632 662048 703426 853264 906593 1324096 1406852 1706528 1813186 2648192 2813704 3413056 3626372 3817729 5627408 6826112 7252744 7635458 11254816 14505488 15270916 22509632 29010976 30541832 45019264 58021952 61083664 64901393 116043904 122167328 129802786 244334656 259605572 488669312 519211144 1038422288 1103323681 2076844576 2206647362 4153689152 4413294724 8307378304 8826589448 17653178896 35306357792 70612715584 141225431168