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150430235160 = 2335103106111471
BaseRepresentation
bin1000110000011001010…
…1110011101000011000
3112101021202000201120010
42030012111303220120
54431040120011120
6153035014001520
713603541621112
oct2140625635030
9471252021503
10150430235160
1158884a451a7
12251a29462a0
1311254748a8a
1473d09863b2
153da67667e0
hex2306573a18

150430235160 has 128 divisors (see below), whose sum is σ = 456141404160. Its totient is φ = 39684364800.

The previous prime is 150430235141. The next prime is 150430235201. The reversal of 150430235160 is 61532034051.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13108225 + ... + 13119695.

It is an arithmetic number, because the mean of its divisors is an integer number (3563604720).

Almost surely, 2150430235160 is an apocalyptic number.

150430235160 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 150430235160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228070702080).

150430235160 is an abundant number, since it is smaller than the sum of its proper divisors (305711169000).

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

150430235160 is a wasteful number, since it uses less digits than its factorization.

150430235160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12649 (or 12645 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 150430235160 in words is "one hundred fifty billion, four hundred thirty million, two hundred thirty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1061 1236 1545 2060 2122 2472 3090 3183 4120 4244 5305 6180 6366 8488 10610 11471 12360 12732 15915 21220 22942 25464 31830 34413 42440 45884 57355 63660 68826 91768 109283 114710 127320 137652 172065 218566 229420 275304 327849 344130 437132 458840 546415 655698 688260 874264 1092830 1181513 1311396 1376520 1639245 2185660 2363026 2622792 3278490 3544539 4371320 4726052 5907565 6556980 7089078 9452104 11815130 12170731 13113960 14178156 17722695 23630260 24341462 28356312 35445390 36512193 47260520 48682924 60853655 70890780 73024386 97365848 121707310 141781560 146048772 182560965 243414620 292097544 365121930 486829240 730243860 1253585293 1460487720 2507170586 3760755879 5014341172 6267926465 7521511758 10028682344 12535852930 15043023516 18803779395 25071705860 30086047032 37607558790 50143411720 75215117580 150430235160