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1004031042 = 23741214221
BaseRepresentation
bin111011110110000…
…100110001000010
32120222021001122220
4323312010301002
54024012443132
6243343511510
733611060130
oct7366046102
92528231586
101004031042
11475827423
122402b8596
1313001bc11
14974ba750
155d22aa2c
hex3bd84c42

1004031042 has 48 divisors (see below), whose sum is σ = 2352432576. Its totient is φ = 279849600.

The previous prime is 1004031031. The next prime is 1004031043. The reversal of 1004031042 is 2401304001.

It is not an unprimeable number, because it can be changed into a prime (1004031043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63492 + ... + 77712.

It is an arithmetic number, because the mean of its divisors is an integer number (49009012).

Almost surely, 21004031042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004031042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176216288).

1004031042 is an abundant number, since it is smaller than the sum of its proper divisors (1348401534).

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

1004031042 is a wasteful number, since it uses less digits than its factorization.

1004031042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14315 (or 14274 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1004031042 is about 31686.4488701401. The cubic root of 1004031042 is about 1001.3418792214.

Adding to 1004031042 its reverse (2401304001), we get a palindrome (3405335043).

The spelling of 1004031042 in words is "one billion, four million, thirty-one thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1681 1722 3362 5043 10086 11767 14221 23534 28442 35301 42663 70602 85326 99547 199094 298641 583061 597282 1166122 1749183 3498366 4081427 8162854 12244281 23905501 24488562 47811002 71716503 143433006 167338507 334677014 502015521 1004031042