Search a number
-
+
158071031040 = 28351367167283
BaseRepresentation
bin1001001100110111000…
…1001000010100000000
3120010000020112101001010
42103031301020110000
510042212140443130
6200341122440520
714264101410666
oct2231561102400
9503006471033
10158071031040
1161045a8123a
1226775803140
1311ba1732480
147917668c36
1541a245b0b0
hex24cdc48500

158071031040 has 576 divisors, whose sum is σ = 557053249536. Its totient is φ = 37964906496.

The previous prime is 158071030933. The next prime is 158071031057. The reversal of 158071031040 is 40130170851.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 158071030989 and 158071031007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 558554739 + ... + 558555021.

It is an arithmetic number, because the mean of its divisors is an integer number (967106336).

Almost surely, 2158071031040 is an apocalyptic number.

158071031040 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 158071031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278526624768).

158071031040 is an abundant number, since it is smaller than the sum of its proper divisors (398982218496).

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

158071031040 is a wasteful number, since it uses less digits than its factorization.

158071031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 158071031040 in words is "one hundred fifty-eight billion, seventy-one million, thirty-one thousand, forty".