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1004041314040 = 235211397299653
BaseRepresentation
bin11101001110001011000…
…01101001111011111000
310112222121100212110010211
432213011201221323320
5112422234034022130
62045130013520504
7132353036232502
oct16470541517370
93488540773124
101004041314040
113578a2167a56
1214270b4a3134
13738b0623c1b
143684b072d72
151b1b644ca2a
hexe9c5869ef8

1004041314040 has 64 divisors (see below), whose sum is σ = 2275524531360. Its totient is φ = 398704965120.

The previous prime is 1004041314013. The next prime is 1004041314079. The reversal of 1004041314040 is 404131404001.

It is a super-2 number, since 2×10040413140402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3200854 + ... + 3500506.

Almost surely, 21004041314040 is an apocalyptic number.

1004041314040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004041314040 is an abundant number, since it is smaller than the sum of its proper divisors (1271483217320).

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

1004041314040 is a wasteful number, since it uses less digits than its factorization.

1004041314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300272 (or 300268 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1004041314040 its reverse (404131404001), we get a palindrome (1408172718041).

The spelling of 1004041314040 in words is "one trillion, four billion, forty-one million, three hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 211 397 422 794 844 1055 1588 1688 1985 2110 3176 3970 4220 7940 8440 15880 83767 167534 299653 335068 418835 599306 670136 837670 1198612 1498265 1675340 2397224 2996530 3350680 5993060 11986120 63226783 118962241 126453566 237924482 252907132 316133915 475848964 505814264 594811205 632267830 951697928 1189622410 1264535660 2379244820 2529071320 4758489640 25101032851 50202065702 100404131404 125505164255 200808262808 251010328510 502020657020 1004041314040