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141225431193 = 3273116596311
BaseRepresentation
bin1000001110000110110…
…0010001000010011001
3111111112020120020022200
42003201230101002121
54303212202244233
6144513355040413
713126461234000
oct2034154210231
9444466506280
10141225431193
115499108a7a0
1223454140109
131041871ba02
146b9a29bc37
153a185d2313
hex20e1b11099

141225431193 has 96 divisors (see below), whose sum is σ = 259953408000. Its totient is φ = 73240927200.

The previous prime is 141225431167. The next prime is 141225431213. The reversal of 141225431193 is 391134522141.

141225431193 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 254 + 311 + 93 = 666.

It is not a de Polignac number, because 141225431193 - 28 = 141225430937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141225431143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22374508 + ... + 22380818.

It is an arithmetic number, because the mean of its divisors is an integer number (2707848000).

Almost surely, 2141225431193 is an apocalyptic number.

It is an amenable number.

141225431193 is a deficient number, since it is larger than the sum of its proper divisors (118727976807).

141225431193 is a wasteful number, since it uses less digits than its factorization.

141225431193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008 (or 6991 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 141225431193 in words is "one hundred forty-one billion, two hundred twenty-five million, four hundred thirty-one thousand, one hundred ninety-three".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 343 441 539 659 693 1029 1617 1977 3087 3773 4613 4851 5931 6311 7249 11319 13839 18933 21747 32291 33957 41517 44177 50743 56799 65241 69421 96873 132531 152229 208263 226037 290619 309239 355201 397593 456687 485947 624789 678111 927717 1065603 1457841 2034333 2164673 2486407 2783151 3196809 3401629 4158949 4373523 6494019 7459221 10204887 12476847 19482057 22377663 23811403 29112643 30614661 37430541 45748439 71434209 87337929 137245317 203788501 214302627 262013787 320239073 411735951 611365503 960717219 1426519507 1834096509 2241673511 2882151657 4279558521 6725020533 12838675563 15691714577 20175061599 47075143731 141225431193