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114242054413005 = 325791301227310867
BaseRepresentation
bin11001111110011100001101…
…000100100101101011001101
3112222111102201012022200212200
4121332130031010211223031
5104433220211412204010
61042550024131552113
733030500415220041
oct3176341504455315
9488442635280780
10114242054413005
1133445868482992
1210990a60a5b639
134b98c96c878bc
14202d4b8710021
15d31a70b88cc0
hex67e70d125acd

114242054413005 has 96 divisors (see below), whose sum is σ = 200787033807360. Its totient is φ = 60079626547200.

The previous prime is 114242054412953. The next prime is 114242054413007. The reversal of 114242054413005 is 500314450242411.

114242054413005 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 4 + 205 + 441 + 3 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 114242054413005 - 27 = 114242054412877 is a prime.

It is a super-2 number, since 2×1142420544130052 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114242054413007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10512744582 + ... + 10512755448.

It is an arithmetic number, because the mean of its divisors is an integer number (2091531602160).

Almost surely, 2114242054413005 is an apocalyptic number.

114242054413005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114242054413005 is a deficient number, since it is larger than the sum of its proper divisors (86544979394355).

114242054413005 is a wasteful number, since it uses less digits than its factorization.

114242054413005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14531 (or 14528 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 114242054413005 in words is "one hundred fourteen trillion, two hundred forty-two billion, fifty-four million, four hundred thirteen thousand, five".

Divisors: 1 3 5 9 15 45 79 237 395 711 1185 1301 2273 3555 3903 6505 6819 10867 11365 11709 19515 20457 32601 34095 54335 58545 97803 102285 102779 163005 179567 308337 489015 513895 538701 858493 897835 925011 1541685 1616103 2575479 2693505 2957173 4292465 4625055 7726437 8080515 8871519 12877395 14137967 14785865 24700691 26614557 38632185 42413901 44357595 70689835 74102073 123503455 127241703 133072785 212069505 222306219 233616667 370510365 636208515 700850001 1111531095 1116899393 1168083335 1951354589 2102550003 3350698179 3504250005 5584496965 5854063767 9756772945 10052094537 10512750015 16753490895 17562191301 29270318835 32135598991 50260472685 87810956505 96406796973 160677994955 289220390919 482033984865 1446101954595 2538712320289 7616136960867 12693561601445 22848410882601 38080684804335 114242054413005