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114024215344 = 24137113955547
BaseRepresentation
bin110101000110001011…
…1110111001100110000
3101220022112200022000211
41222030113313030300
53332010144342334
6124214302353504
711144424560464
oct1521427671460
9356275608024
10114024215344
11443a2773716
121a12258b894
13a9a2149610
14573983c4a4
152e75552a64
hex1a8c5f7330

114024215344 has 80 divisors (see below), whose sum is σ = 243006946560. Its totient is φ = 51511138560.

The previous prime is 114024215339. The next prime is 114024215381. The reversal of 114024215344 is 443512420411.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2024979 + ... + 2080525.

It is an arithmetic number, because the mean of its divisors is an integer number (3037586832).

Almost surely, 2114024215344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114024215344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121503473280).

114024215344 is an abundant number, since it is smaller than the sum of its proper divisors (128982731216).

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

114024215344 is a wasteful number, since it uses less digits than its factorization.

114024215344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55778 (or 55772 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 114024215344 its reverse (443512420411), we get a palindrome (557536635755).

The spelling of 114024215344 in words is "one hundred fourteen billion, twenty-four million, two hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 71 104 139 142 208 278 284 556 568 923 1112 1136 1807 1846 2224 3614 3692 7228 7384 9869 14456 14768 19738 28912 39476 55547 78952 111094 128297 157904 222188 256594 444376 513188 722111 888752 1026376 1444222 2052752 2888444 3943837 5776888 7721033 7887674 11553776 15442066 15775348 30884132 31550696 51269881 61768264 63101392 100373429 102539762 123536528 200746858 205079524 401493716 410159048 548193343 802987432 820318096 1096386686 1605974864 2192773372 4385546744 7126513459 8771093488 14253026918 28506053836 57012107672 114024215344