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134431414231983 = 31119756128356589
BaseRepresentation
bin11110100100001111000000…
…101100010010001110101111
3122121222111222101200200122020
4132210033000230102032233
5120110011014020410413
61153524534504121223
740213230523164021
oct3644170054221657
9577874871620566
10134431414231983
113991a051794690
12130b1860766213
135a01a9c0766ab
14252a72d884011
151081d09cccc23
hex7a43c0b123af

134431414231983 has 32 divisors (see below), whose sum is σ = 205855232236800. Its totient is φ = 77175289900800.

The previous prime is 134431414231979. The next prime is 134431414232009. The reversal of 134431414231983 is 389132414134431.

It is not a de Polignac number, because 134431414231983 - 22 = 134431414231979 is a prime.

It is a super-2 number, since 2×1344314142319832 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134431414235983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9437548 + ... + 18919041.

It is an arithmetic number, because the mean of its divisors is an integer number (6432976007400).

Almost surely, 2134431414231983 is an apocalyptic number.

134431414231983 is a deficient number, since it is larger than the sum of its proper divisors (71423818004817).

134431414231983 is a wasteful number, since it uses less digits than its factorization.

134431414231983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28364183.

The product of its digits is 2985984, while the sum is 51.

The spelling of 134431414231983 in words is "one hundred thirty-four trillion, four hundred thirty-one billion, four hundred fourteen million, two hundred thirty-one thousand, nine hundred eighty-three".

Divisors: 1 3 11 19 33 57 209 627 7561 22683 83171 143659 249513 430977 1580249 4740747 28356589 85069767 311922479 538775191 935767437 1616325573 5926527101 17779581303 214404169429 643212508287 2358445863719 4073679219151 7075337591157 12221037657453 44810471410661 134431414231983