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114470868132 = 223273101431269
BaseRepresentation
bin110101010011011111…
…1101101010010100100
3101221110200010121110200
41222212333231102210
53333414020240012
6124330455550500
711161460216265
oct1524677552244
9357420117420
10114470868132
1144601903555
121a22808b430
13aa438438ca
14577cca896c
152e9e87e3dc
hex1aa6fed4a4

114470868132 has 72 divisors (see below), whose sum is σ = 296225562360. Its totient is φ = 37261555200.

The previous prime is 114470868101. The next prime is 114470868137. The reversal of 114470868132 is 231868074411.

114470868132 is a `hidden beast` number, since 11 + 447 + 0 + 8 + 68 + 132 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20599712676 + 93871155456 = 143526^2 + 306384^2 .

It is not an unprimeable number, because it can be changed into a prime (114470868137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49794 + ... + 481062.

Almost surely, 2114470868132 is an apocalyptic number.

114470868132 is a gapful number since it is divisible by the number (12) 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 114470868132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148112781180).

114470868132 is an abundant number, since it is smaller than the sum of its proper divisors (181754694228).

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

114470868132 is a wasteful number, since it uses less digits than its factorization.

114470868132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431453 (or 431448 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 114470868132 in words is "one hundred fourteen billion, four hundred seventy million, eight hundred sixty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 101 146 202 219 292 303 404 438 606 657 876 909 1212 1314 1818 2628 3636 7373 14746 22119 29492 44238 66357 88476 132714 265428 431269 862538 1293807 1725076 2587614 3881421 5175228 7762842 15525684 31482637 43558169 62965274 87116338 94447911 125930548 130674507 174232676 188895822 261349014 283343733 377791644 392023521 522698028 566687466 784047042 1133374932 1568094084 3179746337 6359492674 9539239011 12718985348 19078478022 28617717033 38156956044 57235434066 114470868132