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1004142540324 = 2237116191755629
BaseRepresentation
bin11101001110010111000…
…11110011011000100100
310112222212102100021111110
432213023203303120210
5112422440442242244
62045144031305020
7132355405523040
oct16471343633044
93488772307443
101004142540324
11357944316840
1214273937b170
13738c85a6931
143685a6a3020
151b1c02959b9
hexe9cb8f3624

1004142540324 has 96 divisors (see below), whose sum is σ = 2925862732800. Its totient is φ = 260394744960.

The previous prime is 1004142540263. The next prime is 1004142540341. The reversal of 1004142540324 is 4230452414001.

It is a junction number, because it is equal to n+sod(n) for n = 1004142540291 and 1004142540300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305859 + ... + 1449770.

It is an arithmetic number, because the mean of its divisors is an integer number (30477736800).

Almost surely, 21004142540324 is an apocalyptic number.

1004142540324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004142540324 is an abundant number, since it is smaller than the sum of its proper divisors (1921720192476).

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

1004142540324 is a wasteful number, since it uses less digits than its factorization.

1004142540324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756273 (or 1756271 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1004142540324 its reverse (4230452414001), we get a palindrome (5234594954325).

The spelling of 1004142540324 in words is "one trillion, four billion, one hundred forty-two million, five hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 619 924 1238 1857 2476 3714 4333 6809 7428 8666 12999 13618 17332 20427 25998 27236 40854 47663 51996 81708 95326 142989 190652 285978 571956 1755629 3511258 5266887 7022516 10533774 12289403 19311919 21067548 24578806 36868209 38623838 49157612 57935757 73736418 77247676 115871514 135183433 147472836 231743028 270366866 405550299 540733732 811100598 1086734351 1622201196 2173468702 3260203053 4346937404 6520406106 7607140457 11954077861 13040812212 15214280914 22821421371 23908155722 30428561828 35862233583 45642842742 47816311444 71724467166 83678545027 91285685484 143448934332 167357090054 251035635081 334714180108 502071270162 1004142540324