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114530520432 = 24319263477497
BaseRepresentation
bin110101010101010001…
…1010000110101110000
3101221121211101021001010
41222222203100311300
53334024303123212
6124340430310520
711163113234556
oct1525243206560
9357554337033
10114530520432
1144632547179
121a244058440
13aa52ccb523
145786b95bd6
152ea4c1403c
hex1aaa8d0d70

114530520432 has 80 divisors (see below), whose sum is σ = 312627490560. Its totient is φ = 36029938176.

The previous prime is 114530520421. The next prime is 114530520437. The reversal of 114530520432 is 234025035411.

It is a super-2 number, since 2×1145305204322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114530520432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114530520437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1108 + ... + 478604.

It is an arithmetic number, because the mean of its divisors is an integer number (3907843632).

Almost surely, 2114530520432 is an apocalyptic number.

114530520432 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 114530520432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156313745280).

114530520432 is an abundant number, since it is smaller than the sum of its proper divisors (198096970128).

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

114530520432 is a wasteful number, since it uses less digits than its factorization.

114530520432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477790 (or 477784 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 114530520432 its reverse (234025035411), we get a palindrome (348555555843).

The spelling of 114530520432 in words is "one hundred fourteen billion, five hundred thirty million, five hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 263 304 456 526 789 912 1052 1578 2104 3156 4208 4997 6312 9994 12624 14991 19988 29982 39976 59964 79952 119928 239856 477497 954994 1432491 1909988 2864982 3819976 5729964 7639952 9072443 11459928 18144886 22919856 27217329 36289772 54434658 72579544 108869316 125581711 145159088 217738632 251163422 376745133 435477264 502326844 753490266 1004653688 1506980532 2009307376 2386052509 3013961064 4772105018 6027922128 7158157527 9544210036 14316315054 19088420072 28632630108 38176840144 57265260216 114530520432