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145731571461 = 32729323833313
BaseRepresentation
bin1000011110111001000…
…1110100111100000101
3111221011021122212200200
42013232101310330011
54341424240241321
6150540445201113
713346235630120
oct2075621647405
9457137585620
10145731571461
1156893744663
12242b1260199
13109861652b8
1470a69253b7
153bcded4d26
hex21ee474f05

145731571461 has 48 divisors (see below), whose sum is σ = 241568011776. Its totient is φ = 82931102208.

The previous prime is 145731571439. The next prime is 145731571483. The reversal of 145731571461 is 164175137541.

145731571461 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 31 + 571 + 46 + 1 = 666.

145731571461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145731571439) and next prime (145731571483).

It is not a de Polignac number, because 145731571461 - 221 = 145729474309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145731571061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43986141 + ... + 43989453.

It is an arithmetic number, because the mean of its divisors is an integer number (5032666912).

Almost surely, 2145731571461 is an apocalyptic number.

It is an amenable number.

145731571461 is a deficient number, since it is larger than the sum of its proper divisors (95836440315).

145731571461 is a wasteful number, since it uses less digits than its factorization.

145731571461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002 (or 5999 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The spelling of 145731571461 in words is "one hundred forty-five billion, seven hundred thirty-one million, five hundred seventy-one thousand, four hundred sixty-one".

Divisors: 1 3 7 9 21 63 293 879 2051 2383 2637 3313 6153 7149 9939 16681 18459 21447 23191 29817 50043 69573 150129 208719 698219 970709 2094657 2912127 4887533 6283971 6794963 7894879 8736381 14662599 20384889 23684637 43987797 55264153 61154667 71053911 165792459 497377377 2313199547 6939598641 16192396829 20818795923 48577190487 145731571461