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1004304552240 = 2435113112271561
BaseRepresentation
bin11101001110101010011…
…01110101000100110000
310120000021201012100001210
432213111031311010300
5112423303431132430
62045212100000120
7132362413562013
oct16472515650460
93500251170053
101004304552240
11357a17812790
12142783690040
1373923020082
1436873dd737a
151b1ce5e92b0
hexe9d5375130

1004304552240 has 160 divisors (see below), whose sum is σ = 3505936177152. Its totient is φ = 235613952000.

The previous prime is 1004304552227. The next prime is 1004304552241. The reversal of 1004304552240 is 422554034001.

1004304552240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1004304552198 and 1004304552207.

It is not an unprimeable number, because it can be changed into a prime (1004304552241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6053941 + ... + 6217620.

Almost surely, 21004304552240 is an apocalyptic number.

1004304552240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004304552240 is an abundant number, since it is smaller than the sum of its proper divisors (2501631624912).

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

1004304552240 is a wasteful number, since it uses less digits than its factorization.

1004304552240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12271619 (or 12271613 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 1004304552240 its reverse (422554034001), we get a palindrome (1426858586241).

The spelling of 1004304552240 in words is "one trillion, four billion, three hundred four million, five hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 33 40 44 48 55 60 62 66 80 88 93 110 120 124 132 155 165 176 186 220 240 248 264 310 330 341 372 440 465 496 528 620 660 682 744 880 930 1023 1240 1320 1364 1488 1705 1860 2046 2480 2640 2728 3410 3720 4092 5115 5456 6820 7440 8184 10230 13640 16368 20460 27280 40920 81840 12271561 24543122 36814683 49086244 61357805 73629366 98172488 122715610 134987171 147258732 184073415 196344976 245431220 269974342 294517464 368146830 380418391 404961513 490862440 539948684 589034928 674935855 736293660 760836782 809923026 981724880 1079897368 1141255173 1349871710 1472587320 1521673564 1619846052 1902091955 2024807565 2159794736 2282510346 2699743420 2945174640 3043347128 3239692104 3804183910 4049615130 4184602301 4565020692 5399486840 5706275865 6086694256 6479384208 7608367820 8099230260 8369204602 9130041384 10798973680 11412551730 12553806903 15216735640 16198460520 16738409204 18260082768 20923011505 22825103460 25107613806 30433471280 32396921040 33476818408 41846023010 45650206920 50215227612 62769034515 66953636816 83692046020 91300413840 100430455224 125538069030 167384092040 200860910448 251076138060 334768184080 502152276120 1004304552240