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114170040320 = 21257796387
BaseRepresentation
bin110101001010100010…
…0001001000000000000
3101220200201001222021212
41222111010021000000
53332310012242240
6124240552105252
711151145221260
oct1522504110000
9356621058255
10114170040320
1144468014126
121a163395228
13a9c641609b
145750d5b7a0
152e8325a165
hex1a95109000

114170040320 has 104 divisors (see below), whose sum is σ = 313114277184. Its totient is φ = 39143964672.

The previous prime is 114170040319. The next prime is 114170040343. The reversal of 114170040320 is 23040071411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254834 + ... + 541553.

Almost surely, 2114170040320 is an apocalyptic number.

114170040320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114170040320 is an abundant number, since it is smaller than the sum of its proper divisors (198944236864).

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

114170040320 is an frugal number, since it uses more digits than its factorization.

114170040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796423 (or 796401 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The spelling of 114170040320 in words is "one hundred fourteen billion, one hundred seventy million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4096 4480 5120 7168 8960 10240 14336 17920 20480 28672 35840 71680 143360 796387 1592774 3185548 3981935 5574709 6371096 7963870 11149418 12742192 15927740 22298836 25484384 27873545 31855480 44597672 50968768 55747090 63710960 89195344 101937536 111494180 127421920 178390688 203875072 222988360 254843840 356781376 407750144 445976720 509687680 713562752 815500288 891953440 1019375360 1427125504 1631000576 1783906880 2038750720 2854251008 3262001152 3567813760 4077501440 5708502016 7135627520 8155002880 11417004032 14271255040 16310005760 22834008064 28542510080 57085020160 114170040320