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126346284414 = 23273132346719
BaseRepresentation
bin111010110101011010…
…0110100110101111110
3110002010021211021002100
41311222310310311332
54032224122100124
6134013115205530
712061656461220
oct1655264646576
9402107737070
10126346284414
1149646202579
12205a11468a6
13bbb6c3804c
146188136410
1534471e11c9
hex1d6ad34d7e

126346284414 has 48 divisors (see below), whose sum is σ = 322949652480. Its totient is φ = 34934455440.

The previous prime is 126346284371. The next prime is 126346284419. The reversal of 126346284414 is 414482643621.

It is a happy number.

126346284414 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 4 + 628 + 4 + 4 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 126346284414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126346284419) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16169454 + ... + 16177265.

It is an arithmetic number, because the mean of its divisors is an integer number (6728117760).

Almost surely, 2126346284414 is an apocalyptic number.

126346284414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

126346284414 is an abundant number, since it is smaller than the sum of its proper divisors (196603368066).

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

126346284414 is a wasteful number, since it uses less digits than its factorization.

126346284414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32346765 (or 32346762 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 126346284414 in words is "one hundred twenty-six billion, three hundred forty-six million, two hundred eighty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 32346719 64693438 97040157 194080314 226427033 291120471 452854066 582240942 679281099 1002748289 1358562198 2005496578 2037843297 3008244867 4075686594 6016489734 7019238023 9024734601 14038476046 18049469202 21057714069 42115428138 63173142207 126346284414