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44134013223440 = 2457229334370143
BaseRepresentation
bin10100000100011110000000…
…01011100100001000010000
312210021011121021010211110122
422002033000023210020100
521241042424341122230
6233510515154445412
712203401663464110
oct1202170013441020
9183234537124418
1044134013223440
1113076147990a58
124b49573893868
131b81a8683923a
14ac8151cbb040
15518061023be5
hex2823c02e4210

44134013223440 has 80 divisors (see below), whose sum is σ = 117321524179968. Its totient is φ = 15125062169088.

The previous prime is 44134013223413. The next prime is 44134013223467. The reversal of 44134013223440 is 4432231043144.

It is an interprime number because it is at equal distance from previous prime (44134013223413) and next prime (44134013223467).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×441340132234402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 44134013223440.

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, 15900992 + ... + 18469151.

Almost surely, 244134013223440 is an apocalyptic number.

44134013223440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44134013223440 is an abundant number, since it is smaller than the sum of its proper divisors (73187510956528).

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

44134013223440 is a wasteful number, since it uses less digits than its factorization.

44134013223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34372456 (or 34372450 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 44134013223440 its reverse (4432231043144), we get a palindrome (48566244266584).

The spelling of 44134013223440 in words is "forty-four trillion, one hundred thirty-four billion, thirteen million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2293 4586 9172 11465 16051 18344 22930 32102 36688 45860 64204 80255 91720 128408 160510 183440 256816 321020 642040 1284080 34370143 68740286 137480572 171850715 240591001 274961144 343701430 481182002 549922288 687402860 962364004 1202955005 1374805720 1924728008 2405910010 2749611440 3849456016 4811820020 9623640040 19247280080 78810737899 157621475798 315242951596 394053689495 551675165293 630485903192 788107378990 1103350330586 1260971806384 1576214757980 2206700661172 2758375826465 3152429515960 4413401322344 5516751652930 6304859031920 8826802644688 11033503305860 22067006611720 44134013223440