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151506530040 = 23358322368213
BaseRepresentation
bin1000110100011001111…
…1100010111011111000
3112111001202021011120110
42031012133202323320
54440241132430130
6153333502424320
713642321154055
oct2150637427370
9474052234513
10151506530040
11592875394a8
12254432920a0
1311396719a58
1474938b402c
153e1aeb8ab0
hex23467e2ef8

151506530040 has 128 divisors (see below), whose sum is σ = 462065264640. Its totient is φ = 39735399936.

The previous prime is 151506530039. The next prime is 151506530047. The reversal of 151506530040 is 40035605151.

It is a super-2 number, since 2×1515065300402 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151506530047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2186974 + ... + 2255186.

It is an arithmetic number, because the mean of its divisors is an integer number (3609884880).

Almost surely, 2151506530040 is an apocalyptic number.

151506530040 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 151506530040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231032632320).

151506530040 is an abundant number, since it is smaller than the sum of its proper divisors (310558734600).

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

151506530040 is a wasteful number, since it uses less digits than its factorization.

151506530040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68533 (or 68529 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 151506530040 in words is "one hundred fifty-one billion, five hundred six million, five hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 223 249 332 415 446 498 664 669 830 892 996 1115 1245 1338 1660 1784 1992 2230 2490 2676 3320 3345 4460 4980 5352 6690 8920 9960 13380 18509 26760 37018 55527 68213 74036 92545 111054 136426 148072 185090 204639 222108 272852 277635 341065 370180 409278 444216 545704 555270 682130 740360 818556 1023195 1110540 1364260 1637112 2046390 2221080 2728520 4092780 5661679 8185560 11323358 15211499 16985037 22646716 28308395 30422998 33970074 45293432 45634497 56616790 60845996 67940148 76057495 84925185 91268994 113233580 121691992 135880296 152114990 169850370 182537988 226467160 228172485 304229980 339700740 365075976 456344970 608459960 679401480 912689940 1262554417 1825379880 2525108834 3787663251 5050217668 6312772085 7575326502 10100435336 12625544170 15150653004 18938316255 25251088340 30301306008 37876632510 50502176680 75753265020 151506530040