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31303652040 = 2334579122299
BaseRepresentation
bin11101001001110101…
…111101001011001000
32222210121100021210000
4131021311331023020
51003102213331130
622214121523000
72155506436443
oct351165751310
988717307700
1031303652040
1112304106111
126097643460
132c4b4ab43b
14172d63a65a
15c332db260
hex749d7d2c8

31303652040 has 160 divisors (see below), whose sum is σ = 106547760000. Its totient is φ = 8241906816.

The previous prime is 31303651943. The next prime is 31303652041. The reversal of 31303652040 is 4025630313.

It is a happy number.

31303652040 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 3 + 652 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31303651995 and 31303652013.

It is not an unprimeable number, because it can be changed into a prime (31303652041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194811 + ... + 317109.

It is an arithmetic number, because the mean of its divisors is an integer number (665923500).

Almost surely, 231303652040 is an apocalyptic number.

31303652040 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 31303652040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53273880000).

31303652040 is an abundant number, since it is smaller than the sum of its proper divisors (75244107960).

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

31303652040 is a wasteful number, since it uses less digits than its factorization.

31303652040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122401 (or 122388 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 31303652040 in words is "thirty-one billion, three hundred three million, six hundred fifty-two 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 79 81 90 108 120 135 158 162 180 216 237 270 316 324 360 395 405 474 540 632 648 711 790 810 948 1080 1185 1422 1580 1620 1896 2133 2370 2844 3160 3240 3555 4266 4740 5688 6399 7110 8532 9480 10665 12798 14220 17064 21330 25596 28440 31995 42660 51192 63990 85320 122299 127980 244598 255960 366897 489196 611495 733794 978392 1100691 1222990 1467588 1834485 2201382 2445980 2935176 3302073 3668970 4402764 4891960 5503455 6604146 7337940 8805528 9661621 9906219 11006910 13208292 14675880 16510365 19323242 19812438 22013820 26416584 28984863 33020730 38646484 39624876 44027640 48308105 49531095 57969726 66041460 77292968 79249752 86954589 96616210 99062190 115939452 132082920 144924315 173909178 193232420 198124380 231878904 260863767 289848630 347818356 386464840 396248760 434772945 521727534 579697260 695636712 782591301 869545890 1043455068 1159394520 1304318835 1565182602 1739091780 2086910136 2608637670 3130365204 3478183560 3912956505 5217275340 6260730408 7825913010 10434550680 15651826020 31303652040