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114315555135320 = 235711269531377043
BaseRepresentation
bin11001111111100000101010…
…000011100101111101011000
3112222202110102120220020222022
4121333200222003211331120
5104440421224103312240
61043043501355314012
733036012011105150
oct3177405203457530
9488673376806868
10114315555135320
1133473a557454a0
12109a315414b908
134ba2bab762576
142032c8c231760
15d3392379a9b5
hex67f82a0e5f58

114315555135320 has 128 divisors (see below), whose sum is σ = 320689531952640. Its totient is φ = 35629474544640.

The previous prime is 114315555135317. The next prime is 114315555135401. The reversal of 114315555135320 is 23531555513411.

It is a happy number.

It is a super-2 number, since 2×1143155551353202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82326719 + ... + 83703761.

It is an arithmetic number, because the mean of its divisors is an integer number (2505386968380).

Almost surely, 2114315555135320 is an apocalyptic number.

114315555135320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114315555135320 is an abundant number, since it is smaller than the sum of its proper divisors (206373976817320).

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

114315555135320 is a wasteful number, since it uses less digits than its factorization.

114315555135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404025 (or 1404021 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 44.

The spelling of 114315555135320 in words is "one hundred fourteen trillion, three hundred fifteen billion, five hundred fifty-five million, one hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 26953 53906 107812 134765 188671 215624 269530 296483 377342 539060 592966 754684 943355 1078120 1185932 1377043 1482415 1509368 1886710 2075381 2371864 2754086 2964830 3773420 4150762 5508172 5929660 6885215 7546840 8301524 9639301 10376905 11016344 11859320 13770430 15147473 16603048 19278602 20753810 27540860 30294946 38557204 41507620 48196505 55081720 60589892 75737365 77114408 83015240 96393010 106032311 121179784 151474730 192786020 212064622 302949460 385572040 424129244 530161555 605898920 848258488 1060323110 2120646220 4241292440 37115439979 74230879958 148461759916 185577199895 259808079853 296923519832 371154399790 408269839769 519616159706 742308799580 816539679538 1039232319412 1299040399265 1484617599160 1633079359076 2041349198845 2078464638824 2598080798530 2857888878383 3266158718152 4082698397690 5196161597060 5715777756766 8165396795380 10392323194120 11431555513532 14289444391915 16330793590760 22863111027064 28578888783830 57157777567660 114315555135320