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4318380663040 = 28543113694327
BaseRepresentation
bin111110110101110011100…
…010111010000100000000
3120021211111101002011020001
4332311303202322010000
51031223020422204130
613103500420325344
7623664332664403
oct76656342720400
916254441064201
104318380663040
111415462339084
12598b20b43854
132542b5988802
1410d02167bd3a
15774e71666ca
hex3ed738ba100

4318380663040 has 144 divisors (see below), whose sum is σ = 10678109194368. Its totient is φ = 1672248066048.

The previous prime is 4318380663011. The next prime is 4318380663043. The reversal of 4318380663040 is 403660838134.

It is not an unprimeable number, because it can be changed into a prime (4318380663043) 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, 5872357 + ... + 6566683.

It is an arithmetic number, because the mean of its divisors is an integer number (74153536072).

Almost surely, 24318380663040 is an apocalyptic number.

4318380663040 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 4318380663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339054597184).

4318380663040 is an abundant number, since it is smaller than the sum of its proper divisors (6359728531328).

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

4318380663040 is a wasteful number, since it uses less digits than its factorization.

4318380663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694504 (or 694490 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 4318380663040 in words is "four trillion, three hundred eighteen billion, three hundred eighty million, six hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 113 128 160 172 215 226 256 320 344 430 452 565 640 688 860 904 1130 1280 1376 1720 1808 2260 2752 3440 3616 4520 4859 5504 6880 7232 9040 9718 11008 13760 14464 18080 19436 24295 27520 28928 36160 38872 48590 55040 72320 77744 97180 144640 155488 194360 310976 388720 621952 694327 777440 1243904 1388654 1554880 2777308 3109760 3471635 5554616 6219520 6943270 11109232 13886540 22218464 27773080 29856061 44436928 55546160 59712122 78458951 88873856 111092320 119424244 149280305 156917902 177747712 222184640 238848488 298560610 313835804 392294755 444369280 477696976 597121220 627671608 784589510 888738560 955393952 1194242440 1255343216 1569179020 1910787904 2388484880 2510686432 3138358040 3373734893 3821575808 4776969760 5021372864 6276716080 6747469786 7643151616 9553939520 10042745728 12553432160 13494939572 16868674465 19107879040 20085491456 25106864320 26989879144 33737348930 38215758080 50213728640 53979758288 67474697860 100427457280 107959516576 134949395720 215919033152 269898791440 431838066304 539797582880 863676132608 1079595165760 2159190331520 4318380663040