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114404057610414 = 231113179744905377
BaseRepresentation
bin11010000000110011000101…
…001101101111100010101110
3120000001220212110220211010020
4122000303011031233202232
5104443344002222013124
61043152255402423010
733045264124532655
oct3200630515574256
9500056773824106
10114404057610414
11334a85410169a0
12109b8333501a66
134bab34424b020
1420372862b219c
15d35da341b379
hex680cc536f8ae

114404057610414 has 64 divisors (see below), whose sum is σ = 270311263568640. Its totient is φ = 31822357662720.

The previous prime is 114404057610397. The next prime is 114404057610431. The reversal of 114404057610414 is 414016750404411.

It is an interprime number because it is at equal distance from previous prime (114404057610397) and next prime (114404057610431).

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 31 ways as a sum of consecutive naturals, for example, 372299107 + ... + 372606270.

It is an arithmetic number, because the mean of its divisors is an integer number (4223613493260).

Almost surely, 2114404057610414 is an apocalyptic number.

114404057610414 is an abundant number, since it is smaller than the sum of its proper divisors (155907205958226).

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

114404057610414 is a wasteful number, since it uses less digits than its factorization.

114404057610414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744905585.

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 114404057610414 in words is "one hundred fourteen trillion, four hundred four billion, fifty-seven million, six hundred ten thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 179 286 358 429 537 858 1074 1969 2327 3938 4654 5907 6981 11814 13962 25597 51194 76791 153582 744905377 1489810754 2234716131 4469432262 8193959147 9683769901 16387918294 19367539802 24581877441 29051309703 49163754882 58102619406 106521468911 133338062483 213042937822 266676124966 319564406733 400014187449 639128813466 800028374898 1466718687313 1733394812279 2933437374626 3466789624558 4400156061939 5200184436837 8800312123878 10400368873674 19067342935069 38134685870138 57202028805207 114404057610414