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1043142431994 = 2321322411422877
BaseRepresentation
bin11110010111000000010…
…00100101010011111010
310200201112101112001021200
433023200020211103322
5114042323430310434
62115114002315030
7135236020242105
oct17134010452372
93621471461250
101043142431994
11372437787673
1214a202358a76
13774a23b1900
14386ba0d573c
151c204079199
hexf2e02254fa

1043142431994 has 72 divisors (see below), whose sum is σ = 2457529429212. Its totient is φ = 319634864640.

The previous prime is 1043142431953. The next prime is 1043142432029. The reversal of 1043142431994 is 4991342413401.

1043142431994 is a `hidden beast` number, since 1 + 0 + 4 + 31 + 424 + 3 + 199 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 370438997769 + 672703434225 = 608637^2 + 820185^2 .

It is a super-2 number, since 2×10431424319942 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 21684 + ... + 1444560.

Almost surely, 21043142431994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1043142431994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228764714606).

1043142431994 is an abundant number, since it is smaller than the sum of its proper divisors (1414386997218).

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

1043142431994 is a wasteful number, since it uses less digits than its factorization.

1043142431994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423152 (or 1423136 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1043142431994 in words is "one trillion, forty-three billion, one hundred forty-two million, four hundred thirty-one thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 241 338 482 507 723 1014 1446 1521 2169 3042 3133 4338 6266 9399 18798 28197 40729 56394 81458 122187 244374 366561 733122 1422877 2845754 4268631 8537262 12805893 18497401 25611786 36994802 55492203 110984406 166476609 240466213 332953218 342913357 480932426 685826714 721398639 1028740071 1442797278 2057480142 2164195917 3086220213 4328391834 4457873641 6172440426 8915747282 13373620923 26747241846 40120862769 57952357333 80241725538 115904714666 173857071999 347714143998 521571215997 1043142431994