Search a number
-
+
156325316411040 = 25357199173266947
BaseRepresentation
bin100011100010110101010010…
…111101000011111010100000
3202111111112222002020022020020
4203202311102331003322200
5130442213222000123130
61312250505310513440
744633063033141610
oct4342652275037240
9674445862208206
10156325316411040
11458a02157a3267
1215648a88205880
13692c54c98658a
142a8628573aa40
1513115a83e9e10
hex8e2d52f43ea0

156325316411040 has 384 divisors, whose sum is σ = 592457471907840. Its totient is φ = 33847078514688.

The previous prime is 156325316411029. The next prime is 156325316411057. The reversal of 156325316411040 is 40114613523651.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 156325316410983 and 156325316411001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 585470847 + ... + 585737793.

It is an arithmetic number, because the mean of its divisors is an integer number (1542857999760).

Almost surely, 2156325316411040 is an apocalyptic number.

156325316411040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156325316411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296228735953920).

156325316411040 is an abundant number, since it is smaller than the sum of its proper divisors (436132155496800).

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

156325316411040 is a wasteful number, since it uses less digits than its factorization.

156325316411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276164 (or 276156 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

Adding to 156325316411040 its reverse (40114613523651), we get a palindrome (196439929934691).

The spelling of 156325316411040 in words is "one hundred fifty-six trillion, three hundred twenty-five billion, three hundred sixteen million, four hundred eleven thousand, forty".