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31204313040 = 2435415331307
BaseRepresentation
bin11101000011111011…
…000000011111010000
32222112200102100021210
4131003323000133100
51002401301004130
622200212420120
72153162166405
oct350373003720
988480370253
1031204313040
111226302626a
12606a317640
132c33a39774
14172037c2ac
15c297175b0
hex743ec07d0

31204313040 has 80 divisors (see below), whose sum is σ = 96759753408. Its totient is φ = 8318880768.

The previous prime is 31204313029. The next prime is 31204313069. The reversal of 31204313040 is 4031340213.

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

It is a junction number, because it is equal to n+sod(n) for n = 31204312998 and 31204313016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981067 + ... + 1012373.

Almost surely, 231204313040 is an apocalyptic number.

31204313040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31204313040 is an abundant number, since it is smaller than the sum of its proper divisors (65555440368).

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

31204313040 is a wasteful number, since it uses less digits than its factorization.

31204313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35476 (or 35470 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 31204313040 its reverse (4031340213), we get a palindrome (35235653253).

The spelling of 31204313040 in words is "thirty-one billion, two hundred four million, three hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4153 8306 12459 16612 20765 24918 31307 33224 41530 49836 62295 62614 66448 83060 93921 99672 124590 125228 156535 166120 187842 199344 249180 250456 313070 332240 375684 469605 498360 500912 626140 751368 939210 996720 1252280 1502736 1878420 2504560 3756840 7513680 130017971 260035942 390053913 520071884 650089855 780107826 1040143768 1300179710 1560215652 1950269565 2080287536 2600359420 3120431304 3900539130 5200718840 6240862608 7801078260 10401437680 15602156520 31204313040