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232305454530040 = 23523477607706253
BaseRepresentation
bin110100110100011111010100…
…000110001011110111111000
31010110112011222112202112022211
4310310133110012023313320
5220422043032324430130
62142023352540224504
766634341503126413
oct6464372406136770
91113464875675284
10232305454530040
116802420a989651
122207a42a83b134
139c81405b44558
144151903180b7a
151bccbe82e1a2a
hexd347d418bdf8

232305454530040 has 128 divisors (see below), whose sum is σ = 557091347189760. Its totient is φ = 86979419912704.

The previous prime is 232305454530011. The next prime is 232305454530047. The reversal of 232305454530040 is 40035454503232.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 232305454529975 and 232305454530002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232305454530047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328573554 + ... + 329279806.

It is an arithmetic number, because the mean of its divisors is an integer number (4352276149920).

Almost surely, 2232305454530040 is an apocalyptic number.

232305454530040 is a gapful number since it is divisible by the number (20) 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 232305454530040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278545673594880).

232305454530040 is an abundant number, since it is smaller than the sum of its proper divisors (324785892659720).

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

232305454530040 is a wasteful number, since it uses less digits than its factorization.

232305454530040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713941 (or 713937 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 40.

The spelling of 232305454530040 in words is "two hundred thirty-two trillion, three hundred five billion, four hundred fifty-four million, five hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 47 92 94 115 184 188 230 235 376 460 470 920 940 1081 1880 2162 4324 5405 7607 8648 10810 15214 21620 30428 38035 43240 60856 76070 152140 174961 304280 349922 357529 699844 706253 715058 874805 1399688 1412506 1430116 1749610 1787645 2825012 2860232 3499220 3531265 3575290 5650024 6998440 7062530 7150580 8223167 14125060 14301160 16243819 16446334 28250120 32487638 32892668 33193891 41115835 64975276 65785336 66387782 81219095 82231670 129950552 132775564 162438190 164463340 165969455 265551128 324876380 328926680 331938910 649752760 663877820 763459493 1327755640 1526918986 3053837972 3817297465 5372466571 6107675944 7634594930 10744933142 15269189860 21489866284 26862332855 30538379720 42979732568 53724665710 107449331420 123566731133 214898662840 247133462266 252505928837 494266924532 505011857674 617833655665 988533849064 1010023715348 1235667311330 1262529644185 2020047430696 2471334622660 2525059288370 4942669245320 5050118576740 5807636363251 10100237153480 11615272726502 23230545453004 29038181816255 46461090906008 58076363632510 116152727265020 232305454530040