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1004140204410 = 235729672460947
BaseRepresentation
bin11101001110010110110…
…10111001000101111010
310112222212020221121020010
432213023122321011322
5112422434343020120
62045143505242350
7132355346623560
oct16471332710572
93488766847203
101004140204410
11357942a70832
121427386333b6
13738c7c69635
143685a255a30
151b1bee837e0
hexe9cb6b917a

1004140204410 has 128 divisors (see below), whose sum is σ = 2891712337920. Its totient is φ = 218295753984.

The previous prime is 1004140204393. The next prime is 1004140204453. The reversal of 1004140204410 is 144020414001.

It is a super-2 number, since 2×10041402044102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 822444 + ... + 1638503.

It is an arithmetic number, because the mean of its divisors is an integer number (22591502640).

Almost surely, 21004140204410 is an apocalyptic number.

1004140204410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1004140204410 is an abundant number, since it is smaller than the sum of its proper divisors (1887572133510).

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

1004140204410 is a wasteful number, since it uses less digits than its factorization.

1004140204410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461060.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 1004140204410 its reverse (144020414001), we get a palindrome (1148160618411).

The spelling of 1004140204410 in words is "one trillion, four billion, one hundred forty million, two hundred four thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 67 70 87 105 134 145 174 201 203 210 290 335 402 406 435 469 609 670 870 938 1005 1015 1218 1407 1943 2010 2030 2345 2814 3045 3886 4690 5829 6090 7035 9715 11658 13601 14070 19430 27202 29145 40803 58290 68005 81606 136010 204015 408030 2460947 4921894 7382841 12304735 14765682 17226629 24609470 34453258 36914205 51679887 71367463 73828410 86133145 103359774 142734926 164883449 172266290 214102389 258399435 329766898 356837315 428204778 494650347 499572241 516798870 713674630 824417245 989300694 999144482 1070511945 1154184143 1498716723 1648834490 2141023890 2308368286 2473251735 2497861205 2997433446 3462552429 4781620021 4946503470 4995722410 5770920715 6925104858 7493583615 9563240042 11541841430 14344860063 14987167230 17312762145 23908100105 28689720126 33471340147 34625524290 47816200210 66942680294 71724300315 100414020441 143448600630 167356700735 200828040882 334713401470 502070102205 1004140204410