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145261415052 = 2232132339132701
BaseRepresentation
bin1000011101001001000…
…0010100101010001100
3111212221111222110100100
42013102100110222030
54334443410240202
6150422052131100
713331466440535
oct2072220245214
9455844873310
10145261415052
1156672311146
122419b906a90
131090c92bc40
1470602db68c
153ba2ab441c
hex21d2414a8c

145261415052 has 72 divisors (see below), whose sum is σ = 395605894320. Its totient is φ = 44676374400.

The previous prime is 145261415029. The next prime is 145261415081. The reversal of 145261415052 is 250514162541.

145261415052 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 6 + 141 + 505 + 2 = 666.

It is a super-2 number, since 2×1452614150522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145261414998 and 145261415016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1028302 + ... + 1161002.

It is an arithmetic number, because the mean of its divisors is an integer number (5494526310).

Almost surely, 2145261415052 is an apocalyptic number.

145261415052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145261415052 is an abundant number, since it is smaller than the sum of its proper divisors (250344479268).

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

145261415052 is a wasteful number, since it uses less digits than its factorization.

145261415052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135063 (or 135058 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 145261415052 its reverse (250514162541), we get a palindrome (395775577593).

The spelling of 145261415052 in words is "one hundred forty-five billion, two hundred sixty-one million, four hundred fifteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2339 4678 7017 9356 14034 21051 28068 30407 42102 60814 84204 91221 121628 132701 182442 265402 273663 364884 398103 530804 547326 796206 1094652 1194309 1592412 1725113 2388618 3450226 4777236 5175339 6900452 10350678 15526017 20701356 31052034 62104068 310387639 620775278 931162917 1241550556 1862325834 2793488751 3724651668 4035039307 5586977502 8070078614 11173955004 12105117921 16140157228 24210235842 36315353763 48420471684 72630707526 145261415052