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145513052460 = 223251316171037
BaseRepresentation
bin1000011110000101000…
…0001111100100101100
3111220121001110221222100
42013201100033210230
54341002320134320
6150503041415100
713340643352356
oct2074120174454
9456531427870
10145513052460
1156791363046
122425003a490
131094cac5a09
1470858c20d6
153bb9c1d790
hex21e140f92c

145513052460 has 72 divisors (see below), whose sum is σ = 444759050736. Its totient is φ = 38507264640.

The previous prime is 145513052393. The next prime is 145513052473. The reversal of 145513052460 is 64250315541.

145513052460 is a `hidden beast` number, since 1 + 45 + 5 + 1 + 30 + 524 + 60 = 666.

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

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, 3061939 + ... + 3109098.

It is an arithmetic number, because the mean of its divisors is an integer number (6177209038).

Almost surely, 2145513052460 is an apocalyptic number.

145513052460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145513052460 is an abundant number, since it is smaller than the sum of its proper divisors (299245998276).

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

145513052460 is a wasteful number, since it uses less digits than its factorization.

145513052460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6171183 (or 6171178 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 145513052460 in words is "one hundred forty-five billion, five hundred thirteen million, fifty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1965 2358 2620 3930 4716 5895 7860 11790 23580 6171037 12342074 18513111 24684148 30855185 37026222 55539333 61710370 74052444 92565555 111078666 123420740 185131110 222157332 277696665 370262220 555393330 808405847 1110786660 1616811694 2425217541 3233623388 4042029235 4850435082 7275652623 8084058470 9700870164 12126087705 14551305246 16168116940 24252175410 29102610492 36378263115 48504350820 72756526230 145513052460