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138800337137814 = 2311151227239325639
BaseRepresentation
bin11111100011110011111000…
…110010100011000010010110
3200012110011221010220210202110
4133203303320302203002112
5121143101042301402224
61211111554500251450
741143664514150102
oct3743637062430226
9605404833823673
10138800337137814
114025398a884850
12136985280a0b86
135c5aa7ac27631
14263bd87882902
15110a7ae1e8929
hex7e3cf8ca3096

138800337137814 has 128 divisors (see below), whose sum is σ = 306325459722240. Its totient is φ = 41579093088000.

The previous prime is 138800337137723. The next prime is 138800337137827. The reversal of 138800337137814 is 418731733008831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5413628007 + ... + 5413653645.

It is an arithmetic number, because the mean of its divisors is an integer number (2393167654080).

Almost surely, 2138800337137814 is an apocalyptic number.

138800337137814 is an abundant number, since it is smaller than the sum of its proper divisors (167525122584426).

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

138800337137814 is a wasteful number, since it uses less digits than its factorization.

138800337137814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28426.

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 138800337137814 in words is "one hundred thirty-eight trillion, eight hundred billion, three hundred thirty-seven million, one hundred thirty-seven thousand, eight hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 151 227 302 453 454 681 906 1362 1661 2393 2497 3322 4786 4983 4994 7179 7491 9966 14358 14982 25639 26323 34277 51278 52646 68554 76917 78969 102831 153834 157938 205662 282029 361343 377047 543211 564058 722686 754094 846087 1084029 1086422 1131141 1629633 1692174 2168058 2262282 3259266 3871489 3974773 5820053 5975321 7742978 7949546 11614467 11640106 11924319 11950642 17460159 17925963 23228934 23848638 34920318 35851926 42586379 61354127 64020583 82024861 85172758 122708254 127759137 128041166 164049722 184062381 192061749 246074583 255518274 368124762 384123498 492149166 674895397 878828003 902273471 1349790794 1757656006 1804546942 2024686191 2636484009 2706820413 4049372382 5272968018 5413640826 9264473177 9667108033 13927386829 18528946354 19334216066 27793419531 27854773658 29001324099 41782160487 55586839062 58002648198 83564320974 101909204947 153201255119 203818409894 305727614841 306402510238 459603765357 611455229682 919207530714 2103035411179 4206070822358 6309106233537 12618212467074 23133389522969 46266779045938 69400168568907 138800337137814