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114140000442 = 23132532123851
BaseRepresentation
bin110101001001101000…
…1100011000010111010
3101220121121112210022210
41222103101203002322
53332224320003232
6124234000155550
711150331665406
oct1522321430272
9356547483283
10114140000442
1144452066786
121a155308bb6
13a9c0128c00
14574ad7c106
152e807c45cc
hex1a934630ba

114140000442 has 48 divisors (see below), whose sum is σ = 251854865568. Its totient is φ = 34457342400.

The previous prime is 114140000357. The next prime is 114140000459. The reversal of 114140000442 is 244000041411.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1008184 + ... + 1115667.

It is an arithmetic number, because the mean of its divisors is an integer number (5246976366).

Almost surely, 2114140000442 is an apocalyptic number.

114140000442 is an abundant number, since it is smaller than the sum of its proper divisors (137714865126).

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

114140000442 is a wasteful number, since it uses less digits than its factorization.

114140000442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123935 (or 2123922 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 114140000442 its reverse (244000041411), we get a palindrome (358140041853).

The spelling of 114140000442 in words is "one hundred fourteen billion, one hundred forty million, four hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 53 78 106 159 169 318 338 507 689 1014 1378 2067 4134 8957 17914 26871 53742 2123851 4247702 6371553 12743106 27610063 55220126 82830189 112564103 165660378 225128206 337692309 358930819 675384618 717861638 1076792457 1463333339 2153584914 2926666678 4390000017 8780000034 19023333407 38046666814 57070000221 114140000442