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150542315040 = 25351324125371
BaseRepresentation
bin1000110000110100000…
…1010110111000100000
3112101120112220222020210
42030031001112320200
54431302313040130
6153054100134120
713606402364445
oct2141501267040
9471515828223
10150542315040
11589322374a7
1225214397340
1311271a2ba30
1474017dd9cc
153db15055b0
hex230d056e20

150542315040 has 96 divisors (see below), whose sum is σ = 510685874496. Its totient is φ = 37056568320.

The previous prime is 150542315017. The next prime is 150542315059. The reversal of 150542315040 is 40513245051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×1505423150404 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 150542314989 and 150542315007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12056446 + ... + 12068925.

It is an arithmetic number, because the mean of its divisors is an integer number (5319644526).

Almost surely, 2150542315040 is an apocalyptic number.

150542315040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150542315040 is an abundant number, since it is smaller than the sum of its proper divisors (360143559456).

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

150542315040 is a wasteful number, since it uses less digits than its factorization.

150542315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24125402 (or 24125394 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 150542315040 in words is "one hundred fifty billion, five hundred forty-two million, three hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 24125371 48250742 72376113 96501484 120626855 144752226 193002968 241253710 289504452 313629823 361880565 386005936 482507420 579008904 627259646 723761130 772011872 940889469 965014840 1158017808 1254519292 1447522260 1568149115 1881778938 1930029680 2316035616 2509038584 2895044520 3136298230 3763557876 3860059360 4704447345 5018077168 5790089040 6272596460 7527115752 9408894690 10036154336 11580178080 12545192920 15054231504 18817789380 25090385840 30108463008 37635578760 50180771680 75271157520 150542315040