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114301101340544 = 2719420891116653
BaseRepresentation
bin11001111111010011001100…
…100010101111011110000000
3112222201002010021112101222212
4121333103030202233132000
5104440202123420344134
61043033111232321252
733034660562633606
oct3177231442573600
9488632107471885
10114301101340544
1133468908979558
12109a039b6a3228
134ba1717128691
1420322ba78d876
15d333798c9bce
hex67f4cc8af780

114301101340544 has 64 divisors (see below), whose sum is σ = 239699830986000. Its totient is φ = 54141292081152.

The previous prime is 114301101340501. The next prime is 114301101340583. The reversal of 114301101340544 is 445043101103411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1143011013405442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 114301101340544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101802122 + ... + 102918774.

Almost surely, 2114301101340544 is an apocalyptic number.

It is an amenable number.

114301101340544 is an abundant number, since it is smaller than the sum of its proper divisors (125398729645456).

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

114301101340544 is a wasteful number, since it uses less digits than its factorization.

114301101340544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158775 (or 1158763 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 114301101340544 its reverse (445043101103411), we get a palindrome (559344202443955).

The spelling of 114301101340544 in words is "one hundred fourteen trillion, three hundred one billion, one hundred one million, three hundred forty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 42089 84178 168356 336712 673424 799691 1116653 1346848 1599382 2233306 2693696 3198764 4466612 5387392 6397528 8933224 12795056 17866448 21216407 25590112 35732896 42432814 51180224 71465792 84865628 102360448 142931584 169731256 339462512 678925024 1357850048 2715700096 46998808117 93997616234 187995232468 375990464936 751980929872 892977354223 1503961859744 1785954708446 3007923719488 3571909416892 6015847438976 7143818833784 14287637667568 28575275335136 57150550670272 114301101340544