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151453023344 = 24747139449461
BaseRepresentation
bin1000110100001101001…
…1011011110001110000
3112110221000120202011222
42031003103123301300
54440133433221334
6153324311524212
713641101312630
oct2150323336160
9473830522158
10151453023344
115925a313097
1225429389668
131138860449c
14748a7466c0
153e16449d2e
hex23434dbc70

151453023344 has 160 divisors (see below), whose sum is σ = 346477824000. Its totient is φ = 62793400320.

The previous prime is 151453023317. The next prime is 151453023353. The reversal of 151453023344 is 443320354151.

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, 328531274 + ... + 328531734.

It is an arithmetic number, because the mean of its divisors is an integer number (2165486400).

Almost surely, 2151453023344 is an apocalyptic number.

151453023344 is a gapful number since it is divisible by the number (14) 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 151453023344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912000).

151453023344 is an abundant number, since it is smaller than the sum of its proper divisors (195024800656).

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

151453023344 is a wasteful number, since it uses less digits than its factorization.

151453023344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 151453023344 its reverse (443320354151), we get a palindrome (594773377495).

The spelling of 151453023344 in words is "one hundred fifty-one billion, four hundred fifty-three million, twenty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 139 188 278 329 376 449 461 556 658 752 898 922 973 1112 1316 1796 1844 1946 2224 2632 3143 3227 3592 3688 3892 5264 6286 6454 6533 7184 7376 7784 12572 12908 13066 15568 21103 21667 25144 25816 26132 42206 43334 45731 50288 51632 52264 62411 64079 84412 86668 91462 104528 124822 128158 147721 151669 168824 173336 182924 206989 249644 256316 295442 303338 337648 346672 365848 413978 436877 448553 499288 512632 590884 606676 731696 827956 873754 897106 998576 1025264 1181768 1213352 1448923 1655912 1747508 1794212 2363536 2426704 2897846 2933317 3011713 3311824 3495016 3588424 5795692 5866634 6023426 6990032 7176848 9728483 11591384 11733268 12046852 19456966 20533219 21081991 23182768 23466536 24093704 28771471 38913932 41066438 42163982 46933072 48187408 57542942 68099381 77827864 82132876 84327964 115085884 136198762 155655728 164265752 168655928 201400297 230171768 272397524 328531504 337311856 402800594 460343536 544795048 805601188 1089590096 1352259137 1611202376 2704518274 3222404752 5409036548 9465813959 10818073096 18931627918 21636146192 37863255836 75726511672 151453023344