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150414575267044 = 22112251222212
BaseRepresentation
bin100010001100110100011111…
…010100111110110011100100
3201201120111022100222110000201
4202030310133110332303210
5124203343022232021134
61251523300230520244
743453044252321334
oct4214643724766344
9651514270873021
10150414575267044
1143a21510490500
1214a53428b06084
1365c1058a3220a
1429201662410c4
15125c9656e0914
hex88cd1f53ece4

150414575267044 has 81 divisors (see below), whose sum is σ = 290618669683209. Its totient is φ = 68067209100000.

The previous prime is 150414575266987. The next prime is 150414575267059. The reversal of 150414575267044 is 440762575414051.

The square root of 150414575267044 is 12264362.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 102004707668644 + 48409867598400 = 10099738^2 + 6957720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67723805854 + ... + 67723808074.

Almost surely, 2150414575267044 is an apocalyptic number.

150414575267044 is the 12264362-nd square number.

It is an amenable number.

150414575267044 is a deficient number, since it is larger than the sum of its proper divisors (140204094416165).

150414575267044 is an frugal number, since it uses more digits than its factorization.

150414575267044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 55.

The spelling of 150414575267044 in words is "one hundred fifty trillion, four hundred fourteen billion, five hundred seventy-five million, two hundred sixty-seven thousand, forty-four".

Divisors: 1 2 4 11 22 44 121 242 251 484 502 1004 2221 2761 4442 5522 8884 11044 24431 30371 48862 60742 63001 97724 121484 126002 252004 268741 537482 557471 693011 1074964 1114942 1386022 2229884 2772044 4932841 6132181 7623121 9865682 12264362 15246242 19731364 24528724 30492484 54261251 67453991 108522502 134907982 139925221 217045004 269815964 279850442 559700884 596873761 1193747522 1238143091 1539177431 2387495044 2476286182 3078354862 4952572364 6156709724 13619574001 16930951741 27239148002 33861903482 54478296004 67723806964 149815314011 299630628022 310773915841 599261256044 621547831682 1243095663364 3418513074251 6837026148502 13674052297004 37603643816761 75207287633522 150414575267044