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3131204040 = 233451795399
BaseRepresentation
bin1011101010100010…
…0110000111001000
322002012220122110000
42322220212013020
522403042012130
61234412323000
7140410536516
oct27250460710
98065818400
103131204040
111367534a38
12734773460
133ab932073
14219bdb4b6
15134d5e260
hexbaa261c8

3131204040 has 160 divisors (see below), whose sum is σ = 10585080000. Its totient is φ = 830169216.

The previous prime is 3131204033. The next prime is 3131204053. The reversal of 3131204040 is 404021313.

It is a super-2 number, since 2×31312040402 = 19608877480224643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 577261 + ... + 582659.

It is an arithmetic number, because the mean of its divisors is an integer number (66156750).

Almost surely, 23131204040 is an apocalyptic number.

3131204040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292540000).

3131204040 is an abundant number, since it is smaller than the sum of its proper divisors (7453875960).

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

3131204040 is a wasteful number, since it uses less digits than its factorization.

3131204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5588 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3131204040 is about 55957.1625442177. The cubic root of 3131204040 is about 1462.9757347784.

Adding to 3131204040 its reverse (404021313), we get a palindrome (3535225353).

The spelling of 3131204040 in words is "three billion, one hundred thirty-one million, two hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 179 180 216 270 324 358 360 405 537 540 648 716 810 895 1074 1080 1432 1611 1620 1790 2148 2685 3222 3240 3580 4296 4833 5370 5399 6444 7160 8055 9666 10740 10798 12888 14499 16110 16197 19332 21480 21596 24165 26995 28998 32220 32394 38664 43192 48330 48591 53990 57996 64440 64788 72495 80985 96660 97182 107980 115992 129576 144990 145773 161970 193320 194364 215960 242955 289980 291546 323940 388728 437319 485910 579960 583092 647880 728865 874638 966421 971820 1166184 1457730 1749276 1932842 1943640 2186595 2899263 2915460 3498552 3865684 4373190 4832105 5798526 5830920 7731368 8697789 8746380 9664210 11597052 14496315 17395578 17492760 19328420 23194104 26093367 28992630 34791156 38656840 43488945 52186734 57985260 69582312 78280101 86977890 104373468 115970520 130466835 156560202 173955780 208746936 260933670 313120404 347911560 391400505 521867340 626240808 782801010 1043734680 1565602020 3131204040