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114400005423 = 311191429127681
BaseRepresentation
bin110101010001011000…
…1011000110100101111
3101221021201210102002220
41222202301120310233
53333242400133143
6124315445050423
711156640000414
oct1524261306457
9357251712086
10114400005423
1144575903330
121a2083b6a13
13aa31c62502
14577370010b
152e98532d83
hex1aa2c58d2f

114400005423 has 32 divisors (see below), whose sum is σ = 175281849600. Its totient is φ = 65637734400.

The previous prime is 114400005337. The next prime is 114400005439. The reversal of 114400005423 is 324500004411.

It is a de Polignac number, because none of the positive numbers 2k-114400005423 is a prime.

It is a super-2 number, since 2×1144000054232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114400005393 and 114400005402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114400005023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832143 + ... + 959823.

It is an arithmetic number, because the mean of its divisors is an integer number (5477557800).

Almost surely, 2114400005423 is an apocalyptic number.

114400005423 is a deficient number, since it is larger than the sum of its proper divisors (60881844177).

114400005423 is a wasteful number, since it uses less digits than its factorization.

114400005423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129143.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 114400005423 its reverse (324500004411), we get a palindrome (438900009834).

The spelling of 114400005423 in words is "one hundred fourteen billion, four hundred million, five thousand, four hundred twenty-three".

Divisors: 1 3 11 19 33 57 209 627 1429 4287 15719 27151 47157 81453 127681 298661 383043 895983 1404491 2425939 4213473 7277817 26685329 80055987 182456149 547368447 2007017639 3466666831 6021052917 10400000493 38133335141 114400005423