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13031035034240 = 275792511026829
BaseRepresentation
bin1011110110100000011000…
…1101101101101010000000
31201010202101020101121201002
42331220012031231222000
53202000024432043430
643414212545031132
72513314124134646
oct275500615555200
951122336347632
1013031035034240
114174481616323
1215656033254a8
13736a8a605bc2
143309c3adb196
15178e790b2845
hexbda0636da80

13031035034240 has 128 divisors (see below), whose sum is σ = 31672365984000. Its totient is φ = 5125925376000.

The previous prime is 13031035034233. The next prime is 13031035034261. The reversal of 13031035034240 is 4243053013031.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12177146 + ... + 13203974.

It is an arithmetic number, because the mean of its divisors is an integer number (247440359250).

Almost surely, 213031035034240 is an apocalyptic number.

13031035034240 is a gapful number since it is divisible by the number (10) 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 13031035034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15836182992000).

13031035034240 is an abundant number, since it is smaller than the sum of its proper divisors (18641330949760).

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

13031035034240 is a wasteful number, since it uses less digits than its factorization.

13031035034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027178 (or 1027166 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 13031035034240 its reverse (4243053013031), we get a palindrome (17274088047271).

The spelling of 13031035034240 in words is "thirteen trillion, thirty-one billion, thirty-five million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 251 316 320 395 502 632 640 790 1004 1255 1264 1580 2008 2510 2528 3160 4016 5020 5056 6320 8032 10040 10112 12640 16064 19829 20080 25280 32128 39658 40160 50560 79316 80320 99145 158632 160640 198290 317264 396580 634528 793160 1026829 1269056 1586320 2053658 2538112 3172640 4107316 5134145 6345280 8214632 10268290 12690560 16429264 20536580 32858528 41073160 65717056 81119491 82146320 131434112 162238982 164292640 257734079 324477964 328585280 405597455 515468158 648955928 657170560 811194910 1030936316 1288670395 1297911856 1622389820 2061872632 2577340790 2595823712 3244779640 4123745264 5154681580 5191647424 6489559280 8247490528 10309363160 10383294848 12979118560 16494981056 20360992241 20618726320 25958237120 32989962112 40721984482 41237452640 51916474240 81443968964 82474905280 101804961205 162887937928 164949810560 203609922410 325775875856 407219844820 651551751712 814439689640 1303103503424 1628879379280 2606207006848 3257758758560 6515517517120 13031035034240