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247147271140 = 225751166841
BaseRepresentation
bin1110011000101100100…
…0000001001111100100
3212121221010012012210211
43212023020001033210
513022124200134030
6305312103425204
723566353100000
oct3461310011744
9777833165724
10247147271140
11958a62118a0
123ba95155204
131a3c905c453
14bd679c3700
15666766612a
hex398b2013e4

247147271140 has 144 divisors (see below), whose sum is σ = 660561519744. Its totient is φ = 77031763200.

The previous prime is 247147271123. The next prime is 247147271153. The reversal of 247147271140 is 41172741742.

It is a super-2 number, since 2×2471472711402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247147271093 and 247147271102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3664120 + ... + 3730960.

It is an arithmetic number, because the mean of its divisors is an integer number (4587232776).

Almost surely, 2247147271140 is an apocalyptic number.

247147271140 is a gapful number since it is divisible by the number (20) 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 247147271140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330280759872).

247147271140 is an abundant number, since it is smaller than the sum of its proper divisors (413414248604).

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

247147271140 is an equidigital number, since it uses as much as digits as its factorization.

247147271140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66896 (or 66866 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 40.

The spelling of 247147271140 in words is "two hundred forty-seven billion, one hundred forty-seven million, two hundred seventy-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 343 385 490 539 686 770 980 1078 1372 1540 1715 2156 2401 2695 3430 3773 4802 5390 6860 7546 9604 10780 12005 15092 16807 18865 24010 26411 33614 37730 48020 52822 66841 67228 75460 84035 105644 132055 133682 168070 184877 264110 267364 334205 336140 369754 467887 528220 668410 735251 739508 924385 935774 1336820 1470502 1848770 1871548 2339435 2941004 3275209 3676255 3697540 4678870 5146757 6550418 7352510 9357740 10293514 13100836 14705020 16376045 20587028 22926463 25733785 32752090 36027299 45852926 51467570 65504180 72054598 91705852 102935140 114632315 144109196 160485241 180136495 229264630 252191093 320970482 360272990 458529260 504382186 641940964 720545980 802426205 1008764372 1123396687 1260955465 1604852410 1765337651 2246793374 2521910930 3209704820 3530675302 4493586748 5043821860 5616983435 7061350604 8826688255 11233966870 12357363557 17653376510 22467933740 24714727114 35306753020 49429454228 61786817785 123573635570 247147271140