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12342235016430 = 23251139731402781
BaseRepresentation
bin1011001110011010011010…
…0010001010110011101110
31121200220110120122021012100
42303212212202022303232
53104203344131011210
642125540002115530
72412461042445504
oct263464642126356
947626416567170
1012342235016430
113a293489a6060
12147401164bba6
136b6b38642777
14309520082674
151660b33ed5c0
hexb39a688acee

12342235016430 has 96 divisors (see below), whose sum is σ = 35095246718688. Its totient is φ = 2984520211200.

The previous prime is 12342235016359. The next prime is 12342235016491. The reversal of 12342235016430 is 3461053224321.

12342235016430 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 2 + 2 + 3 + 5 + 0 + 1 + 643 + 0 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 15308361 + ... + 16094420.

It is an arithmetic number, because the mean of its divisors is an integer number (365575486653).

Almost surely, 212342235016430 is an apocalyptic number.

12342235016430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12342235016430 is an abundant number, since it is smaller than the sum of its proper divisors (22753011702258).

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

12342235016430 is a wasteful number, since it uses less digits than its factorization.

12342235016430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31403202 (or 31403199 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 12342235016430 in words is "twelve trillion, three hundred forty-two billion, two hundred thirty-five million, sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 397 495 794 990 1191 1985 2382 3573 3970 4367 5955 7146 8734 11910 13101 17865 21835 26202 35730 39303 43670 65505 78606 131010 196515 393030 31402781 62805562 94208343 157013905 188416686 282625029 314027810 345430591 471041715 565250058 690861182 942083430 1036291773 1413125145 1727152955 2072583546 2826250290 3108875319 3454305910 5181458865 6217750638 10362917730 12466904057 15544376595 24933808114 31088753190 37400712171 62334520285 74801424342 112202136513 124669040570 137135944627 187003560855 224404273026 274271889254 374007121710 411407833881 561010682565 685679723135 822815667762 1122021365130 1234223501643 1371359446270 2057039169405 2468447003286 4114078338810 6171117508215 12342235016430