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4114356040000 = 2654166761703
BaseRepresentation
bin111011110111110010101…
…110101111000101000000
3112120022212112202102211001
4323313302232233011000
51014402200121240000
612430035320501344
7603152402211463
oct73676256570500
915508775672731
104114356040000
1113469857a6038
1256548161a854
1323ac9c9064ab
141031c8c772da
157205570646a
hex3bdf2baf140

4114356040000 has 140 divisors (see below), whose sum is σ = 10208551392864. Its totient is φ = 1644728512000.

The previous prime is 4114356039907. The next prime is 4114356040019. The reversal of 4114356040000 is 406534114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66649149 + ... + 66710851.

Almost surely, 24114356040000 is an apocalyptic number.

4114356040000 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 4114356040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104275696432).

4114356040000 is an abundant number, since it is smaller than the sum of its proper divisors (6094195352864).

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

4114356040000 is an equidigital number, since it uses as much as digits as its factorization.

4114356040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63402 (or 63377 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 4114356040000 in words is "four trillion, one hundred fourteen billion, three hundred fifty-six million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 1667 2000 2500 3334 4000 5000 6668 8000 8335 10000 13336 16670 20000 26672 33340 40000 41675 53344 61703 66680 83350 106688 123406 133360 166700 208375 246812 266720 308515 333400 416750 493624 533440 617030 666800 833500 987248 1041875 1234060 1333600 1542575 1667000 1974496 2083750 2468120 2667200 3085150 3334000 3948992 4167500 4936240 6170300 6668000 7712875 8335000 9872480 12340600 13336000 15425750 16670000 19744960 24681200 30851500 33340000 38564375 49362400 61703000 66680000 77128750 98724800 102858901 123406000 154257500 205717802 246812000 308515000 411435604 493624000 514294505 617030000 822871208 1028589010 1234060000 1645742416 2057178020 2468120000 2571472525 3291484832 4114356040 5142945050 6582969664 8228712080 10285890100 12857362625 16457424160 20571780200 25714725250 32914848320 41143560400 51429450500 64286813125 82287120800 102858901000 128573626250 164574241600 205717802000 257147252500 411435604000 514294505000 822871208000 1028589010000 2057178020000 4114356040000