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151320140442 = 23419271181409
BaseRepresentation
bin1000110011101101100…
…0100001101010011010
3112110120202112121010000
42030323120201222122
54434400423443232
6153303203433430
713634565654132
oct2147330415232
9473522477100
10151320140442
11591a1302209
12253b0985876
1311366c19753
147476c35ac2
153e0994c27c
hex233b621a9a

151320140442 has 80 divisors (see below), whose sum is σ = 358233955200. Its totient is φ = 47608715520.

The previous prime is 151320140441. The next prime is 151320140473. The reversal of 151320140442 is 244041023151.

151320140442 is a `hidden beast` number, since 1 + 5 + 13 + 201 + 4 + 0 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (151320140441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 743434 + ... + 924842.

It is an arithmetic number, because the mean of its divisors is an integer number (4477924440).

Almost surely, 2151320140442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151320140442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179116977600).

151320140442 is an abundant number, since it is smaller than the sum of its proper divisors (206913814758).

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

151320140442 is a wasteful number, since it uses less digits than its factorization.

151320140442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181713 (or 181704 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 151320140442 its reverse (244041023151), we get a palindrome (395361163593).

The spelling of 151320140442 in words is "one hundred fifty-one billion, three hundred twenty million, one hundred forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 271 342 513 542 813 1026 1539 1626 2439 3078 4878 5149 7317 10298 14634 15447 21951 30894 43902 46341 92682 139023 181409 278046 362818 417069 544227 834138 1088454 1632681 3265362 3446771 4898043 6893542 9796086 10340313 14694129 20680626 29388258 31020939 49161839 62041878 93062817 98323678 147485517 186125634 279188451 294971034 442456551 558376902 884913102 934074941 1327369653 1868149882 2654739306 2802224823 3982108959 5604449646 7964217918 8406674469 16813348938 25220023407 50440046814 75660070221 151320140442