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31234314340440 = 2332586761984279
BaseRepresentation
bin1110001101000010011100…
…01101100000100001011000
311002120222020001212222022100
413012201032031200201120
513043220333432343230
6150232502415123400
76402414266232141
oct706411615404130
9132528201788270
1031234314340440
119a52442193a92
123605504813560
1314574c9b8c8c3
1479da6acdaac8
15392722256660
hex1c684e360858

31234314340440 has 48 divisors (see below), whose sum is σ = 101511521607600. Its totient is φ = 8329150490688.

The previous prime is 31234314340423. The next prime is 31234314340451. The reversal of 31234314340440 is 4404341343213.

31234314340440 is a `hidden beast` number, since 3 + 1 + 2 + 34 + 3 + 143 + 40 + 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 = 31234314340395 and 31234314340404.

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, 43380991780 + ... + 43380992499.

It is an arithmetic number, because the mean of its divisors is an integer number (2114823366825).

Almost surely, 231234314340440 is an apocalyptic number.

31234314340440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31234314340440 is an abundant number, since it is smaller than the sum of its proper divisors (70277207267160).

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

31234314340440 is a wasteful number, since it uses less digits than its factorization.

31234314340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86761984296 (or 86761984289 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 31234314340440 its reverse (4404341343213), we get a palindrome (35638655683653).

The spelling of 31234314340440 in words is "thirty-one trillion, two hundred thirty-four billion, three hundred fourteen million, three hundred forty 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 86761984279 173523968558 260285952837 347047937116 433809921395 520571905674 694095874232 780857858511 867619842790 1041143811348 1301429764185 1561715717022 1735239685580 2082287622696 2602859528370 3123431434044 3470479371160 3904289292555 5205719056740 6246862868088 7808578585110 10411438113480 15617157170220 31234314340440