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31522425010040 = 23529439409115131
BaseRepresentation
bin1110010101011011000101…
…11100011111011101111000
311010121111212222221102212002
413022231202330133131320
513112430411300310130
6151013111354440132
76432264035431616
oct712554274373570
9133544788842762
1031522425010040
11a053649148398
123651310433048
131478723764a63
147ad99cdcc6b6
15399e85c55b45
hex1cab62f1f778

31522425010040 has 128 divisors (see below), whose sum is σ = 73561131072000. Its totient is φ = 12142674700800.

The previous prime is 31522425010007. The next prime is 31522425010081. The reversal of 31522425010040 is 4001052422513.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 31522425009985 and 31522425010012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2083293275 + ... + 2083308405.

It is an arithmetic number, because the mean of its divisors is an integer number (574696336500).

Almost surely, 231522425010040 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 31522425010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36780565536000).

31522425010040 is an abundant number, since it is smaller than the sum of its proper divisors (42038706061960).

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

31522425010040 is a wasteful number, since it uses less digits than its factorization.

31522425010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19701 (or 19697 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 31522425010040 its reverse (4001052422513), we get a palindrome (35523477432553).

The spelling of 31522425010040 in words is "thirty-one trillion, five hundred twenty-two billion, four hundred twenty-five million, ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 439 580 878 1160 1756 2195 3512 4091 4390 8182 8780 12731 15131 16364 17560 20455 25462 30262 32728 40910 50924 60524 63655 75655 81820 101848 118639 121048 127310 151310 163640 237278 254620 302620 438799 474556 509240 593195 605240 877598 949112 1186390 1755196 1795949 2193995 2372780 3510392 3591898 4387990 4745560 6642509 7183796 8775980 8979745 13285018 14367592 17551960 17959490 26570036 33212545 35918980 52082521 53140072 61900921 66425090 71837960 104165042 123801842 132850180 192632761 208330084 247603684 260412605 265700360 309504605 385265522 416660168 495207368 520825210 619009210 770531044 963163805 1041650420 1238018420 1541062088 1795126709 1926327610 2083300840 2476036840 3590253418 3852655220 7180506836 7705310440 8975633545 14361013672 17951267090 27174504319 35902534180 54349008638 71805068360 108698017276 135872521595 217396034552 271745043190 543490086380 788060625251 1086980172760 1576121250502 3152242501004 3940303126255 6304485002008 7880606252510 15761212505020 31522425010040