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150069810444 = 223197310218831
BaseRepresentation
bin1000101111000011011…
…0111001010100001100
3112100100121211020210120
42023300312321110030
54424320332413234
6152535140504540
713561604225151
oct2136066712414
9470317736716
10150069810444
115870a54a834
12251020ab150
13111c7b82908
147398b64228
153d84cbe049
hex22f0db950c

150069810444 has 96 divisors (see below), whose sum is σ = 374050037760. Its totient is φ = 46690214400.

The previous prime is 150069810433. The next prime is 150069810461. The reversal of 150069810444 is 444018960051.

It is a junction number, because it is equal to n+sod(n) for n = 150069810396 and 150069810405.

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, 16989109 + ... + 16997939.

It is an arithmetic number, because the mean of its divisors is an integer number (3896354560).

Almost surely, 2150069810444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150069810444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187025018880).

150069810444 is an abundant number, since it is smaller than the sum of its proper divisors (223980227316).

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

150069810444 is a wasteful number, since it uses less digits than its factorization.

150069810444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9951 (or 9949 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 150069810444 in words is "one hundred fifty billion, sixty-nine million, eight hundred ten thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 73 76 114 146 219 228 292 438 876 1021 1387 2042 2774 3063 4084 4161 5548 6126 8322 8831 12252 16644 17662 19399 26493 35324 38798 52986 58197 74533 77596 105972 116394 149066 167789 223599 232788 298132 335578 447198 503367 644663 671156 894396 1006734 1289326 1416127 1933989 2013468 2578652 2832254 3867978 4248381 5664508 7735956 8496762 9016451 12248597 16993524 18032902 24497194 27049353 36065804 36745791 48994388 54098706 73491582 108197412 146983164 171312569 342625138 513937707 658200923 685250276 1027875414 1316401846 1974602769 2055750828 2632803692 3949205538 7898411076 12505817537 25011635074 37517452611 50023270148 75034905222 150069810444