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144457851918468 = 2231122716369294523
BaseRepresentation
bin100000110110001000110110…
…111100101101100010000100
3200221111000222002002120101010
4200312020312330231202010
5122413244140042342333
61231123004312402220
742266510144266434
oct4066106674554204
9627430862076333
10144457851918468
114203525a443880
1214250a963a6370
13627b41755068a
142795b23c7c2c4
1511a7a30c2e563
hex836236f2d884

144457851918468 has 96 divisors (see below), whose sum is σ = 369354584471040. Its totient is φ = 43579454307840.

The previous prime is 144457851918439. The next prime is 144457851918473. The reversal of 144457851918468 is 864819158754441.

It is a self number, because there is not a number n which added to its sum of digits gives 144457851918468.

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, 490333455 + ... + 490627977.

It is an arithmetic number, because the mean of its divisors is an integer number (3847443588240).

Almost surely, 2144457851918468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144457851918468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184677292235520).

144457851918468 is an abundant number, since it is smaller than the sum of its proper divisors (224896732552572).

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

144457851918468 is a wasteful number, since it uses less digits than its factorization.

144457851918468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311137 (or 311135 counting only the distinct ones).

The product of its digits is 1238630400, while the sum is 75.

The spelling of 144457851918468 in words is "one hundred forty-four trillion, four hundred fifty-seven billion, eight hundred fifty-one million, nine hundred eighteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 227 454 681 908 1362 2497 2724 4994 7491 9988 14982 16369 29964 32738 49107 65476 98214 180059 196428 294523 360118 540177 589046 720236 883569 1080354 1178092 1767138 2160708 3239753 3534276 3715763 6479506 7431526 9719259 11147289 12959012 14863052 19438518 22294578 38877036 40873393 44589156 66856721 81746786 122620179 133713442 163493572 200570163 245240358 267426884 401140326 490480716 735423931 802280652 1470847862 2206271793 2941695724 4412543586 4821046987 8825087172 9642093974 14463140961 19284187948 28926281922 53031516857 57852563844 106063033714 159094550571 212126067428 318189101142 636378202284 1094377666049 2188755332098 3283132998147 4377510664196 6566265996294 12038154326539 13132531992588 24076308653078 36114462979617 48152617306156 72228925959234 144457851918468