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1021234040424 = 2332131801605809
BaseRepresentation
bin11101101110001100100…
…10101100111001101000
310121121222120000102221200
432313012102230321220
5113212441403243144
62101052021404200
7133532063055303
oct16670622547150
93547876012850
101021234040424
11364114aa0834
12145b09269660
13753c05259c0
14375dc59db3a
151b8709e3c69
hexedc64ace68

1021234040424 has 96 divisors (see below), whose sum is σ = 2980258062600. Its totient is φ = 314050867200.

The previous prime is 1021234040377. The next prime is 1021234040443. The reversal of 1021234040424 is 4240404321201.

1021234040424 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 234 + 0 + 4 + 0 + 424 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 789663276900 + 231570763524 = 888630^2 + 481218^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1382832 + ... + 1988640.

Almost surely, 21021234040424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021234040424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490129031300).

1021234040424 is an abundant number, since it is smaller than the sum of its proper divisors (1959024022176).

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

1021234040424 is a wasteful number, since it uses less digits than its factorization.

1021234040424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607635 (or 607628 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1021234040424 its reverse (4240404321201), we get a palindrome (5261638361625).

The spelling of 1021234040424 in words is "one trillion, twenty-one billion, two hundred thirty-four million, forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1801 3602 5403 7204 10806 14408 16209 21612 23413 32418 43224 46826 64836 70239 93652 129672 140478 187304 210717 280956 421434 561912 605809 842868 1211618 1685736 1817427 2423236 3634854 4846472 5452281 7269708 7875517 10904562 14539416 15751034 21809124 23626551 31502068 43618248 47253102 63004136 70879653 94506204 141759306 189012408 283518612 567037224 1091062009 2182124018 3273186027 4364248036 6546372054 8728496072 9819558081 13092744108 14183806117 19639116162 26185488216 28367612234 39278232324 42551418351 56735224468 78556464648 85102836702 113470448936 127654255053 170205673404 255308510106 340411346808 510617020212 1021234040424