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230203623114480 = 243519191264310213
BaseRepresentation
bin110100010101111001110101…
…001011101000011011110000
31010012002020210022010210021010
4310111321311023220123300
5220133124010004130410
62133334030130430520
766326443244643021
oct6425716513503360
91105066708123233
10230203623114480
1167393898941094
122199b007732440
139b5b154531302
1440bbcb433ac48
151b931d0417c20
hexd15e752e86f0

230203623114480 has 160 divisors (see below), whose sum is σ = 755123708989440. Its totient is φ = 57852219202560.

The previous prime is 230203623114391. The next prime is 230203623114529. The reversal of 230203623114480 is 84411326302032.

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, 131284147 + ... + 133026066.

It is an arithmetic number, because the mean of its divisors is an integer number (4719523181184).

Almost surely, 2230203623114480 is an apocalyptic number.

230203623114480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230203623114480 is an abundant number, since it is smaller than the sum of its proper divisors (524920085874960).

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

230203623114480 is a wasteful number, since it uses less digits than its factorization.

230203623114480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264310439 (or 264310433 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 230203623114480 in words is "two hundred thirty trillion, two hundred three billion, six hundred twenty-three million, one hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 191 228 240 285 304 380 382 456 570 573 760 764 912 955 1140 1146 1520 1528 1910 2280 2292 2865 3056 3629 3820 4560 4584 5730 7258 7640 9168 10887 11460 14516 15280 18145 21774 22920 29032 36290 43548 45840 54435 58064 72580 87096 108870 145160 174192 217740 290320 435480 870960 264310213 528620426 792930639 1057240852 1321551065 1585861278 2114481704 2643102130 3171722556 3964653195 4228963408 5021894047 5286204260 6343445112 7929306390 10043788094 10572408520 12686890224 15065682141 15858612780 20087576188 21144817040 25109470235 30131364282 31717225560 40175152376 50218940470 50483250683 60262728564 63434451120 75328410705 80350304752 100437880940 100966501366 120525457128 150656821410 151449752049 200875761880 201933002732 241050914256 252416253415 301313642820 302899504098 401751523760 403866005464 504832506830 602627285640 605799008196 757248760245 807732010928 959181762977 1009665013660 1205254571280 1211598016392 1514497520490 1918363525954 2019330027320 2423196032784 2877545288931 3028995040980 3836727051908 4038660054640 4795908814885 5755090577862 6057990081960 7673454103816 9591817629770 11510181155724 12115980163920 14387726444655 15346908207632 19183635259540 23020362311448 28775452889310 38367270519080 46040724622896 57550905778620 76734541038160 115101811557240 230203623114480