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31040473634304 = 293791042724533
BaseRepresentation
bin1110000111011001011000…
…11001111001011000000000
311001220102212222101211120220
413003230230121321120000
513032031342222244204
6150003444032103040
76352412605352121
oct703545431713000
9131812788354526
1031040473634304
1199882111634a2
123593a27994a80
131442147940714
1479451cc52048
1538c6798d31d9
hex1c3b2c679600

31040473634304 has 160 divisors (see below), whose sum is σ = 83751963102720. Its totient is φ = 10214455959552.

The previous prime is 31040473634273. The next prime is 31040473634309. The reversal of 31040473634304 is 40343637404013.

It is a super-2 number, since 2×310404736343042 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31040473634309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1265241622 + ... + 1265266154.

It is an arithmetic number, because the mean of its divisors is an integer number (523449769392).

Almost surely, 231040473634304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31040473634304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41875981551360).

31040473634304 is an abundant number, since it is smaller than the sum of its proper divisors (52711489468416).

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

31040473634304 is a wasteful number, since it uses less digits than its factorization.

31040473634304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35060 (or 35044 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 42.

The spelling of 31040473634304 in words is "thirty-one trillion, forty billion, four hundred seventy-three million, six hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 632 768 948 1264 1536 1896 2528 3792 5056 7584 10112 10427 15168 20224 20854 24533 30336 31281 40448 41708 49066 60672 62562 73599 83416 98132 121344 125124 147198 166832 196264 250248 294396 333664 392528 500496 588792 667328 785056 823733 1000992 1177584 1334656 1570112 1647466 1938107 2001984 2355168 2471199 2669312 3140224 3294932 3876214 4003968 4710336 4942398 5338624 5814321 6280448 6589864 7752428 8007936 9420672 9884796 11628642 12560896 13179728 15504856 16015872 18841344 19769592 23257284 26359456 31009712 37682688 39539184 46514568 52718912 62019424 79078368 93029136 105437824 124038848 158156736 186058272 210875648 248077696 255805591 316313472 372116544 421751296 496155392 511611182 632626944 744233088 767416773 992310784 1023222364 1265253888 1488466176 1534833546 2046444728 2976932352 3069667092 4092889456 6139334184 8185778912 12278668368 16371557824 20208641689 24557336736 32743115648 40417283378 49114673472 60625925067 65486231296 80834566756 98229346944 121251850134 130972462592 161669133512 196458693888 242503700268 323338267024 392917387776 485007400536 646676534048 970014801072 1293353068096 1940029602144 2586706136192 3880059204288 5173412272384 7760118408576 10346824544768 15520236817152 31040473634304