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31434112440 = 23325731196123
BaseRepresentation
bin11101010001100111…
…100111110110111000
310000010200211100210200
4131101213213312320
51003334113044230
622235102042200
72161652355453
oct352147476670
9100120740720
1031434112440
1112370811a25
126113279360
132c6c528643
141742aba49a
15c3e9ab160
hex7519e7db8

31434112440 has 96 divisors (see below), whose sum is σ = 103560415920. Its totient is φ = 8267595264.

The previous prime is 31434112439. The next prime is 31434112481. The reversal of 31434112440 is 4421143413.

31434112440 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 411 + 244 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571782 + ... + 624341.

Almost surely, 231434112440 is an apocalyptic number.

31434112440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31434112440 is an abundant number, since it is smaller than the sum of its proper divisors (72126303480).

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

31434112440 is a wasteful number, since it uses less digits than its factorization.

31434112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196213 (or 1196206 counting only the distinct ones).

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

Adding to 31434112440 its reverse (4421143413), we get a palindrome (35855255853).

The spelling of 31434112440 in words is "thirty-one billion, four hundred thirty-four million, one hundred twelve 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 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 26280 1196123 2392246 3588369 4784492 5980615 7176738 9568984 10765107 11961230 14353476 17941845 21530214 23922460 28706952 35883690 43060428 47844920 53825535 71767380 86120856 87316979 107651070 143534760 174633958 215302140 261950937 349267916 430604280 436584895 523901874 698535832 785852811 873169790 1047803748 1309754685 1571705622 1746339580 2095607496 2619509370 3143411244 3492679160 3929264055 5239018740 6286822488 7858528110 10478037480 15717056220 31434112440