Search a number
-
+
159121713456 = 243219449129529
BaseRepresentation
bin1001010000110001100…
…1001010100100110000
3120012201110120120100200
42110030121022210300
510101340124312311
6201033254315200
714332120151016
oct2241431124460
9505643516320
10159121713456
1161535071512
1226a09658b00
131200b306544
1479b700a8b6
1542147ee556
hex250c64a930

159121713456 has 120 divisors (see below), whose sum is σ = 469805310000. Its totient is φ = 50136662016.

The previous prime is 159121713451. The next prime is 159121713511. The reversal of 159121713456 is 654317121951.

159121713456 is a `hidden beast` number, since 1 + 5 + 9 + 121 + 71 + 3 + 456 = 666.

It is not an unprimeable number, because it can be changed into a prime (159121713451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1163700 + ... + 1293228.

It is an arithmetic number, because the mean of its divisors is an integer number (3915044250).

Almost surely, 2159121713456 is an apocalyptic number.

159121713456 is a gapful number since it is divisible by the number (16) 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 159121713456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234902655000).

159121713456 is an abundant number, since it is smaller than the sum of its proper divisors (310683596544).

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

159121713456 is a wasteful number, since it uses less digits than its factorization.

159121713456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130011 (or 130002 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The spelling of 159121713456 in words is "one hundred fifty-nine billion, one hundred twenty-one million, seven hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 449 456 684 898 912 1347 1368 1796 2694 2736 3592 4041 5388 7184 8082 8531 10776 16164 17062 21552 25593 32328 34124 51186 64656 68248 76779 102372 129529 136496 153558 204744 259058 307116 388587 409488 518116 614232 777174 1036232 1165761 1228464 1554348 2072464 2331522 2461051 3108696 4663044 4922102 6217392 7383153 9326088 9844204 14766306 18652176 19688408 22149459 29532612 39376816 44298918 58158521 59065224 88597836 116317042 118130448 174475563 177195672 232634084 348951126 354391344 465268168 523426689 697902252 930536336 1046853378 1105011899 1395804504 2093706756 2210023798 2791609008 3315035697 4187413512 4420047596 6630071394 8374827024 8840095192 9945107091 13260142788 17680190384 19890214182 26520285576 39780428364 53040571152 79560856728 159121713456