Search a number
-
+
157037971440 = 24357267241827
BaseRepresentation
bin1001001001000000110…
…0010100011111110000
3120000100020122111200110
42102100030110133300
510033103210041230
6200050420421320
714226355506300
oct2222014243760
9500306574613
10157037971440
1160665928279
1226527847840
1311a686bb7bc
14785a393600
1541418e94b0
hex24903147f0

157037971440 has 480 divisors, whose sum is σ = 577833087744. Its totient is φ = 35169361920.

The previous prime is 157037971399. The next prime is 157037971469. The reversal of 157037971440 is 44179730751.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 157037971440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189888307 + ... + 189889133.

Almost surely, 2157037971440 is an apocalyptic number.

157037971440 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 157037971440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288916543872).

157037971440 is an abundant number, since it is smaller than the sum of its proper divisors (420795116304).

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

157037971440 is a wasteful number, since it uses less digits than its factorization.

157037971440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 157037971440 in words is "one hundred fifty-seven billion, thirty-seven million, nine hundred seventy-one thousand, four hundred forty".