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4442135253150 = 2352742110048943
BaseRepresentation
bin100000010100100001111…
…1001001101000010011110
3120201122221001011201002110
41000221003321031002132
51040234443111100100
613240404434534450
7635635152436560
oct100510371150236
916648831151073
104442135253150
1114629985a9331
125b8aba137426
13262b7899b21a
141150014d5330
157a83ba68250
hex40a43e4d09e

4442135253150 has 96 divisors (see below), whose sum is σ = 12620187399168. Its totient is φ = 1012933353600.

The previous prime is 4442135253071. The next prime is 4442135253169. The reversal of 4442135253150 is 513525312444.

It is a junction number, because it is equal to n+sod(n) for n = 4442135253099 and 4442135253108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4582422 + ... + 5466521.

It is an arithmetic number, because the mean of its divisors is an integer number (131460285408).

Almost surely, 24442135253150 is an apocalyptic number.

4442135253150 is an abundant number, since it is smaller than the sum of its proper divisors (8178052146018).

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

4442135253150 is a wasteful number, since it uses less digits than its factorization.

4442135253150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10049386 (or 10049381 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 4442135253150 in words is "four trillion, four hundred forty-two billion, one hundred thirty-five million, two hundred fifty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 421 525 842 1050 1263 2105 2526 2947 4210 5894 6315 8841 10525 12630 14735 17682 21050 29470 31575 44205 63150 73675 88410 147350 221025 442050 10048943 20097886 30146829 50244715 60293658 70342601 100489430 140685202 150734145 211027803 251223575 301468290 351713005 422055606 502447150 703426010 753670725 1055139015 1507341450 1758565025 2110278030 3517130050 4230605003 5275695075 8461210006 10551390150 12691815009 21153025015 25383630018 29614235021 42306050030 59228470042 63459075045 88842705063 105765125075 126918150090 148071175105 177685410126 211530250150 296142350210 317295375225 444213525315 634590750450 740355875525 888427050630 1480711751050 2221067626575 4442135253150