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1034334142144 = 26171138413051
BaseRepresentation
bin11110000110100110001…
…11100111111011000000
310122212210112011120011021
433003103013213323000
5113421304020022034
62111055550155224
7134504523100552
oct17032307477300
93585715146137
101034334142144
11369727727086
121485644b2b14
13766ca575594
14380c23454d2
151bd8ab1a6b4
hexf0d31e7ec0

1034334142144 has 56 divisors (see below), whose sum is σ = 2192475003408. Its totient is φ = 482437939200.

The previous prime is 1034334142109. The next prime is 1034334142147. The reversal of 1034334142144 is 4412414334301.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1034334142147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4083582 + ... + 4329469.

Almost surely, 21034334142144 is an apocalyptic number.

It is an amenable number.

1034334142144 is an abundant number, since it is smaller than the sum of its proper divisors (1158140861264).

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

1034334142144 is a wasteful number, since it uses less digits than its factorization.

1034334142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413193 (or 8413183 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 1034334142144 its reverse (4412414334301), we get a palindrome (5446748476445).

The spelling of 1034334142144 in words is "one trillion, thirty-four billion, three hundred thirty-four million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 136 226 272 452 544 904 1088 1808 1921 3616 3842 7232 7684 15368 30736 61472 122944 8413051 16826102 33652204 67304408 134608816 143021867 269217632 286043734 538435264 572087468 950674763 1144174936 1901349526 2288349872 3802699052 4576699744 7605398104 9153399488 15210796208 16161470971 30421592416 32322941942 60843184832 64645883884 129291767768 258583535536 517167071072 1034334142144