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145015141761 = 3272349993979
BaseRepresentation
bin1000011100001110010…
…0110111010110000001
3111212022100120110220100
42013003210313112001
54333442334014021
6150341413433013
713322416236600
oct2070344672601
9455270513810
10145015141761
11565562a33a6
122413133b769
13108a08c28b9
147039711a37
153b8b169626
hex21c3937581

145015141761 has 36 divisors (see below), whose sum is σ = 243737130000. Its totient is φ = 82841231088.

The previous prime is 145015141723. The next prime is 145015141771. The reversal of 145015141761 is 167141510541.

145015141761 is a `hidden beast` number, since 1 + 4 + 501 + 5 + 141 + 7 + 6 + 1 = 666.

It is not a de Polignac number, because 145015141761 - 211 = 145015139713 is a prime.

It is a super-2 number, since 2×1450151417612 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (145015141771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1496070 + ... + 1590048.

Almost surely, 2145015141761 is an apocalyptic number.

It is an amenable number.

145015141761 is a deficient number, since it is larger than the sum of its proper divisors (98721988239).

145015141761 is a wasteful number, since it uses less digits than its factorization.

145015141761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97498 (or 97488 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 145015141761 in words is "one hundred forty-five billion, fifteen million, one hundred forty-one thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 441 3499 10497 24493 31491 73479 93979 171451 220437 281937 514353 657853 845811 1543059 1973559 4604971 5920677 13814913 41444739 328832521 986497563 2301827647 2959492689 6905482941 16112793529 20716448823 48338380587 145015141761