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141931780625 = 54536776329
BaseRepresentation
bin1000010000101111001…
…0110001101000010001
3111120100110200111120202
42010023302301220101
54311134013440000
6145111430344545
713153126141535
oct2041362615021
9446313614522
10141931780625
1155213876558
12236107bb155
13104cbb7215b
146c26009bc5
153a5a60add5
hex210bcb1a11

141931780625 has 40 divisors (see below), whose sum is σ = 180999842760. Its totient is φ = 111220928000.

The previous prime is 141931780619. The next prime is 141931780651. The reversal of 141931780625 is 526087139141.

It can be written as a sum of positive squares in 20 ways, for example, as 80765092864 + 61166687761 = 284192^2 + 247319^2 .

It is not a de Polignac number, because 141931780625 - 230 = 140858038801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 141931780625.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22422461 + ... + 22428789.

It is an arithmetic number, because the mean of its divisors is an integer number (4524996069).

It is a 1-persistent number, because it is pandigital, but 2⋅141931780625 = 283863561250 is not.

Almost surely, 2141931780625 is an apocalyptic number.

It is an amenable number.

141931780625 is a deficient number, since it is larger than the sum of its proper divisors (39068062135).

141931780625 is an frugal number, since it uses more digits than its factorization.

141931780625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7079 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 141931780625 in words is "one hundred forty-one billion, nine hundred thirty-one million, seven hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 25 53 125 265 625 677 1325 3385 6329 6625 16925 31645 33125 35881 84625 158225 179405 335437 423125 791125 897025 1677185 3955625 4284733 4485125 8385925 21423665 22425625 41929625 107118325 209648125 227090849 535591625 1135454245 2677958125 5677271225 28386356125 141931780625