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234400342403120 = 245191345111464631
BaseRepresentation
bin110101010010111110010101…
…001001001110100000110000
31010201221110020212212202202112
4311102332111021032200300
5221210403400123344440
62150310010345504452
7100241602666215035
oct6522762511164060
91121843225782675
10234400342403120
1168761699533953
12223584344a2128
13a0a3b1ba5b28a
1441c5073b6338c
151c17456804965
hexd52f9524e830

234400342403120 has 80 divisors (see below), whose sum is σ = 573706694350080. Its totient is φ = 88818781536000.

The previous prime is 234400342403119. The next prime is 234400342403179. The reversal of 234400342403120 is 21304243004432.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14713205 + ... + 26177835.

It is an arithmetic number, because the mean of its divisors is an integer number (7171333679376).

Almost surely, 2234400342403120 is an apocalyptic number.

234400342403120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234400342403120 is an abundant number, since it is smaller than the sum of its proper divisors (339306351946960).

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

234400342403120 is a wasteful number, since it uses less digits than its factorization.

234400342403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11478114 (or 11478108 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 234400342403120 its reverse (21304243004432), we get a palindrome (255704585407552).

The spelling of 234400342403120 in words is "two hundred thirty-four trillion, four hundred billion, three hundred forty-two million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 13451 26902 53804 67255 107608 134510 215216 255569 269020 511138 538040 1022276 1076080 1277845 2044552 2555690 4089104 5111380 10222760 11464631 20445520 22929262 45858524 57323155 91717048 114646310 183434096 217827989 229292620 435655978 458585240 871311956 917170480 1089139945 1742623912 2178279890 3485247824 4356559780 8713119560 17426239120 154210751581 308421503162 616843006324 771053757905 1233686012648 1542107515810 2467372025296 2930004280039 3084215031620 5860008560078 6168430063240 11720017120156 12336860126480 14650021400195 23440034240312 29300042800390 46880068480624 58600085600780 117200171201560 234400342403120