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114225155052432 = 24310161351717433
BaseRepresentation
bin11001111110001100011101…
…110010101001001110010000
3112222102211002110012020022020
4121332030131302221032100
5104432431104143134212
61042534151204011440
733026331553063164
oct3176143562511620
9488384073166266
10114225155052432
1133439686202196
1210989725390b80
134b97502aa0068
14202c75414aca4
15d313d2240d8c
hex67e31dca9390

114225155052432 has 160 divisors (see below), whose sum is σ = 298587278941056. Its totient is φ = 37624232448000.

The previous prime is 114225155052427. The next prime is 114225155052509. The reversal of 114225155052432 is 234250551522411.

114225155052432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1142251550524322 (a number of 29 digits) contains 22 as substring.

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, 15367298188 + ... + 15367305620.

Almost surely, 2114225155052432 is an apocalyptic number.

114225155052432 is a gapful number since it is divisible by the number (12) 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 114225155052432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149293639470528).

114225155052432 is an abundant number, since it is smaller than the sum of its proper divisors (184362123888624).

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

114225155052432 is a wasteful number, since it uses less digits than its factorization.

114225155052432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13329 (or 13323 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 114225155052432 in words is "one hundred fourteen trillion, two hundred twenty-five billion, one hundred fifty-five million, fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 613 808 1212 1226 1616 1839 2424 2452 3678 4848 4904 5171 7356 7433 9808 10342 14712 14866 15513 20684 22299 29424 29732 31026 41368 44598 59464 61913 62052 82736 89196 118928 123826 124104 178392 185739 247652 248208 356784 371478 495304 522271 742956 750733 990608 1044542 1485912 1501466 1566813 2089084 2252199 2971824 3002932 3133626 3169823 4178168 4504398 4556429 6005864 6267252 6339646 8356336 9008796 9112858 9509469 12011728 12534504 12679292 13669287 18017592 18225716 19018938 25069008 25358584 27338574 36035184 36451432 38037876 38436043 50717168 54677148 72902864 76075752 76872086 109354296 115308129 152151504 153744172 218708592 230616258 307488344 320152123 460199329 461232516 614976688 640304246 920398658 922465032 960456369 1280608492 1380597987 1840797316 1844930064 1920912738 2561216984 2761195974 3681594632 3841825476 3882040343 5122433968 5522391948 7363189264 7683650952 7764080686 11044783896 11646121029 15367301904 15528161372 22089567792 23292242058 23561294359 31056322744 46584484116 47122588718 62112645488 70683883077 93168968232 94245177436 141367766154 186337936464 188490354872 282735532308 376980709744 565471064616 1130942129232 2379690730259 4759381460518 7139072190777 9518762921036 14278144381554 19037525842072 28556288763108 38075051684144 57112577526216 114225155052432