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4064700467240 = 235731013292459
BaseRepresentation
bin111011001001100011000…
…001110000100000101000
3112101120200222000222112122
4323021203001300200220
51013044001304422430
612351144141330412
7566444031623000
oct73114301604050
915346628028478
104064700467240
1113279144a12a6
12557923b66a08
132363b831b28a
14100a381a3000
1570aeb1e8ee5
hex3b263070828

4064700467240 has 128 divisors (see below), whose sum is σ = 10675959840000. Its totient is φ = 1392231101184.

The previous prime is 4064700467207. The next prime is 4064700467293. The reversal of 4064700467240 is 427640074604.

It is a super-4 number, since 4×40647004672404 (a number of 52 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4064700467191 and 4064700467200.

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, 13752131 + ... + 14044589.

It is an arithmetic number, because the mean of its divisors is an integer number (83405936250).

Almost surely, 24064700467240 is an apocalyptic number.

4064700467240 is a gapful number since it is divisible by the number (40) 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 4064700467240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337979920000).

4064700467240 is an abundant number, since it is smaller than the sum of its proper divisors (6611259372760).

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

4064700467240 is a wasteful number, since it uses less digits than its factorization.

4064700467240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293504 (or 293486 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 44.

The spelling of 4064700467240 in words is "four trillion, sixty-four billion, seven hundred million, four hundred sixty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1013 1372 1715 1960 2026 2744 3430 4052 5065 6860 7091 8104 10130 13720 14182 20260 28364 35455 40520 49637 56728 70910 99274 141820 198548 248185 283640 292459 347459 397096 496370 584918 694918 992740 1169836 1389836 1462295 1737295 1985480 2047213 2339672 2779672 2924590 3474590 4094426 5849180 6949180 8188852 10236065 11698360 13898360 14330491 16377704 20472130 28660982 40944260 57321964 71652455 81888520 100313437 114643928 143304910 200626874 286609820 296260967 401253748 501567185 573219640 592521934 802507496 1003134370 1185043868 1481304835 2006268740 2073826769 2370087736 2962609670 4012537480 4147653538 5925219340 8295307076 10369133845 11850438680 14516787383 16590614152 20738267690 29033574766 41476535380 58067149532 72583936915 82953070760 101617511681 116134299064 145167873830 203235023362 290335747660 406470046724 508087558405 580671495320 812940093448 1016175116810 2032350233620 4064700467240