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120144145013520 = 24358310358556627
BaseRepresentation
bin11011010100010100111101…
…000101011101101100010000
3120202101200001001001102021220
4123110110331011131230100
5111221420202110413040
61103305242552445040
734210061625451035
oct3324247505355420
9522350031042256
10120144145013520
1135310933788361
12115848a70a9780
13520670c984694
142195016d9d38c
15dd53591e42d0
hex6d453d15db10

120144145013520 has 160 divisors (see below), whose sum is σ = 380593722442752. Its totient is φ = 31345127671296.

The previous prime is 120144145013507. The next prime is 120144145013531. The reversal of 120144145013520 is 25310541441021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27226554 + ... + 31330073.

Almost surely, 2120144145013520 is an apocalyptic number.

120144145013520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120144145013520 is an abundant number, since it is smaller than the sum of its proper divisors (260449577429232).

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

120144145013520 is a wasteful number, since it uses less digits than its factorization.

120144145013520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58556829 (or 58556823 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 120144145013520 its reverse (25310541441021), we get a palindrome (145454686454541).

The spelling of 120144145013520 in words is "one hundred twenty trillion, one hundred forty-four billion, one hundred forty-five million, thirteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 103 120 166 206 240 249 309 332 412 415 498 515 618 664 824 830 996 1030 1236 1245 1328 1545 1648 1660 1992 2060 2472 2490 3090 3320 3984 4120 4944 4980 6180 6640 8240 8549 9960 12360 17098 19920 24720 25647 34196 42745 51294 68392 85490 102588 128235 136784 170980 205176 256470 341960 410352 512940 683920 1025880 2051760 58556627 117113254 175669881 234226508 292783135 351339762 468453016 585566270 702679524 878349405 936906032 1171132540 1405359048 1756698810 2342265080 2810718096 3513397620 4684530160 4860200041 6031332581 7026795240 9720400082 12062665162 14053590480 14580600123 18093997743 19440800164 24125330324 24301000205 29161200246 30156662905 36187995486 38881600328 48250660648 48602000410 58322400492 60313325810 72375990972 72903000615 77763200656 90469988715 96501321296 97204000820 116644800984 120626651620 144751981944 145806001230 180939977430 194408001640 233289601968 241253303240 289503963888 291612002460 361879954860 388816003280 482506606480 500600604223 583224004920 723759909720 1001201208446 1166448009840 1447519819440 1501801812669 2002402416892 2503003021115 3003603625338 4004804833784 5006006042230 6007207250676 7509009063345 8009609667568 10012012084460 12014414501352 15018018126690 20024024168920 24028829002704 30036036253380 40048048337840 60072072506760 120144145013520