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114542151023454 = 237211163027217253
BaseRepresentation
bin11010000010110011101100…
…001110010011101101011110
3120000120010022110001001020120
4122002303230032103231132
5110003124311130222304
61043335534315455410
733061253165266500
oct3202635416235536
9500503273031216
10114542151023454
1133551065166030
1210a1b052757566
134bbb380b1124b
14203dc265ddd70
15d39786a7d0d9
hex682cec393b5e

114542151023454 has 96 divisors (see below), whose sum is σ = 290714925799296. Its totient is φ = 29750888623680.

The previous prime is 114542151023431. The next prime is 114542151023459. The reversal of 114542151023454 is 454320151245411.

It is a super-2 number, since 2×1145421510234542 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114542151023459) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 527120692 + ... + 527337944.

It is an arithmetic number, because the mean of its divisors is an integer number (3028280477076).

Almost surely, 2114542151023454 is an apocalyptic number.

114542151023454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

114542151023454 is an abundant number, since it is smaller than the sum of its proper divisors (176172774775842).

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

114542151023454 is a wasteful number, since it uses less digits than its factorization.

114542151023454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380310 (or 380303 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 114542151023454 in words is "one hundred fourteen trillion, five hundred forty-two billion, one hundred fifty-one million, twenty-three thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 163027 217253 326054 434506 489081 651759 978162 1141189 1303518 1520771 1793297 2282378 2389783 3041542 3423567 3586594 4562313 4779566 5379891 6847134 7169349 7988323 9124626 10645397 10759782 12553079 14338698 15976646 16728481 21290794 23964969 25106158 31936191 33456962 37659237 47929938 50185443 63872382 75318474 87871553 100370886 117099367 175743106 234198734 263614659 351298101 527229318 702596202 35418104831 70836209662 106254314493 212508628986 247926733817 389599153141 495853467634 743780201451 779198306282 1168797459423 1487560402902 1735487136719 2337594918846 2727194071987 3470974273438 5206461410157 5454388143974 8181582215961 10412922820314 16363164431922 19090358503909 38180717007818 57271075511727 114542151023454