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13881022120440 = 2332538558394779
BaseRepresentation
bin1100100111111110110101…
…1001001000000111111000
31211011000100022001102220200
43021333231121020013320
53304411313130323230
645304504210122200
72631604445146116
oct311775531100770
954130308042820
1013881022120440
1144719aa122802
12168229a280360
13798c89750397
1435dbb8b90ab6
15191125a48160
hexc9fed6481f8

13881022120440 has 48 divisors (see below), whose sum is σ = 45113321892600. Its totient is φ = 3701605898688.

The previous prime is 13881022120429. The next prime is 13881022120487. The reversal of 13881022120440 is 4402122018831.

13881022120440 is a `hidden beast` number, since 1 + 3 + 88 + 10 + 2 + 2 + 120 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13881022120395 and 13881022120404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19279197030 + ... + 19279197749.

Almost surely, 213881022120440 is an apocalyptic number.

13881022120440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13881022120440 is an abundant number, since it is smaller than the sum of its proper divisors (31232299772160).

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

13881022120440 is a wasteful number, since it uses less digits than its factorization.

13881022120440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38558394796 (or 38558394789 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 13881022120440 in words is "thirteen trillion, eight hundred eighty-one billion, twenty-two million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 38558394779 77116789558 115675184337 154233579116 192791973895 231350368674 308467158232 347025553011 385583947790 462700737348 578375921685 694051106022 771167895580 925401474696 1156751843370 1388102212044 1542335791160 1735127765055 2313503686740 2776204424088 3470255530110 4627007373480 6940511060220 13881022120440