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153416431540 = 22556919496917
BaseRepresentation
bin1000111011100001010…
…1001111011110110100
3112122222212002012220001
42032320111033132310
510003144101302130
6154251210321044
714040542103031
oct2167025173664
9478885065801
10153416431540
115a077637799
1225896a29184
131160c309398
1475d53d8388
153ecd9d06ca
hex23b854f7b4

153416431540 has 48 divisors (see below), whose sum is σ = 322952994000. Its totient is φ = 61218440192.

The previous prime is 153416431537. The next prime is 153416431547. The reversal of 153416431540 is 45134614351.

It can be written as a sum of positive squares in 8 ways, for example, as 37675044 + 153378756496 = 6138^2 + 391636^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 153416431540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153416431547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22176162 + ... + 22183078.

It is an arithmetic number, because the mean of its divisors is an integer number (6728187375).

Almost surely, 2153416431540 is an apocalyptic number.

153416431540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153416431540 is an abundant number, since it is smaller than the sum of its proper divisors (169536562460).

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

153416431540 is a wasteful number, since it uses less digits than its factorization.

153416431540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9444 (or 9442 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 153416431540 in words is "one hundred fifty-three billion, four hundred sixteen million, four hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 569 1138 1949 2276 2845 3898 5690 6917 7796 9745 11380 13834 19490 27668 34585 38980 69170 138340 1108981 2217962 3935773 4435924 5544905 7871546 11089810 13481233 15743092 19678865 22179620 26962466 39357730 53924932 67406165 78715460 134812330 269624660 7670821577 15341643154 30683286308 38354107885 76708215770 153416431540