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114225201034452 = 22343514110032353
BaseRepresentation
bin11001111110001100100000…
…100010000011010011010100
3112222102211012122201100210000
4121332030200202003103110
5104432431202431100302
61042534155525331300
733026332651654434
oct3176144042032324
9488384178640700
10114225201034452
11334396aa159162
1210989738866b30
134b9750c47c661
14202c75a2ba2c4
15d313d62c531c
hex67e3208834d4

114225201034452 has 60 divisors (see below), whose sum is σ = 298615765674996. Its totient is φ = 38073979722240.

The previous prime is 114225201034403. The next prime is 114225201034487. The reversal of 114225201034452 is 254430102522411.

114225201034452 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 5 + 201 + 0 + 3 + 445 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24484326970896 + 89740874063556 = 4948164^2 + 9473166^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6369508 + ... + 16401860.

Almost surely, 2114225201034452 is an apocalyptic number.

114225201034452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114225201034452 is an abundant number, since it is smaller than the sum of its proper divisors (184390564640544).

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

114225201034452 is a wasteful number, since it uses less digits than its factorization.

114225201034452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10067510 (or 10067499 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 114225201034452 its reverse (254430102522411), we get a palindrome (368655303556863).

The spelling of 114225201034452 in words is "one hundred fourteen trillion, two hundred twenty-five billion, two hundred one million, thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 35141 70282 105423 140564 210846 316269 421692 632538 948807 1265076 1897614 2846421 3795228 5692842 10032353 11385684 20064706 30097059 40129412 60194118 90291177 120388236 180582354 270873531 361164708 541747062 812620593 1083494124 1625241186 3250482372 352546916773 705093833546 1057640750319 1410187667092 2115281500638 3172922250957 4230563001276 6345844501914 9518766752871 12691689003828 19037533505742 28556300258613 38075067011484 57112600517226 114225201034452