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2131413004044 = 2233174724700007
BaseRepresentation
bin11111000001000010000…
…111010110111100001100
321112202112211121010202000
4133001002013112330030
5234410113212112134
64311054013432300
7306663254415522
oct37010207267414
97482484533660
102131413004044
11751a22090855
122a50b9a9b690
13125cb70bb66c
1475237894312
153a699e03e99
hex1f0421d6f0c

2131413004044 has 96 divisors (see below), whose sum is σ = 5975425935360. Its totient is φ = 654451358976.

The previous prime is 2131413004013. The next prime is 2131413004051. The reversal of 2131413004044 is 4404003141312.

2131413004044 is a `hidden beast` number, since 2 + 1 + 314 + 1 + 300 + 4 + 0 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2131413003999 and 2131413004017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12263712 + ... + 12436295.

It is an arithmetic number, because the mean of its divisors is an integer number (62244020160).

Almost surely, 22131413004044 is an apocalyptic number.

It is an amenable number.

2131413004044 is an abundant number, since it is smaller than the sum of its proper divisors (3844012931316).

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

2131413004044 is a wasteful number, since it uses less digits than its factorization.

2131413004044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24700084 (or 24700076 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2131413004044 its reverse (4404003141312), we get a palindrome (6535416145356).

The spelling of 2131413004044 in words is "two trillion, one hundred thirty-one billion, four hundred thirteen million, four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 47 51 54 68 94 102 108 141 153 188 204 282 306 423 459 564 612 799 846 918 1269 1598 1692 1836 2397 2538 3196 4794 5076 7191 9588 14382 21573 28764 43146 86292 24700007 49400014 74100021 98800028 148200042 222300063 296400084 419900119 444600126 666900189 839800238 889200252 1160900329 1259700357 1333800378 1679600476 2321800658 2519400714 2667600756 3482700987 3779101071 4643601316 5038801428 6965401974 7558202142 10448102961 11337303213 13930803948 15116404284 19735305593 20896205922 22674606426 31344308883 39470611186 41792411844 45349212852 59205916779 62688617766 78941222372 118411833558 125377235532 177617750337 236823667116 355235500674 532853251011 710471001348 1065706502022 2131413004044