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1004420241984 = 26350310400309
BaseRepresentation
bin11101001110111000001…
…11001001101001000000
310120000120202212222120010
432213130013021221000
5112424023040220414
62045231351344520
7132365320121625
oct16473407115100
93500522788503
101004420241984
11357a77050145
121427b6382140
1373940c98143
143688551034c
151b1d984c959
hexe9dc1c9a40

1004420241984 has 56 divisors (see below), whose sum is σ = 2662812169920. Its totient is φ = 334141095424.

The previous prime is 1004420241983. The next prime is 1004420242031. The reversal of 1004420241984 is 4891420244001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1004420241983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5103579 + ... + 5296730.

It is an arithmetic number, because the mean of its divisors is an integer number (47550217320).

Almost surely, 21004420241984 is an apocalyptic number.

It is an amenable number.

1004420241984 is an abundant number, since it is smaller than the sum of its proper divisors (1658391927936).

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

1004420241984 is a wasteful number, since it uses less digits than its factorization.

1004420241984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10400827 (or 10400817 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

Adding to 1004420241984 its reverse (4891420244001), we get a palindrome (5895840485985).

The spelling of 1004420241984 in words is "one trillion, four billion, four hundred twenty million, two hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 503 1006 1509 2012 3018 4024 6036 8048 12072 16096 24144 32192 48288 96576 10400309 20800618 31200927 41601236 62401854 83202472 124803708 166404944 249607416 332809888 499214832 665619776 998429664 1996859328 5231355427 10462710854 15694066281 20925421708 31388132562 41850843416 62776265124 83701686832 125552530248 167403373664 251105060496 334806747328 502210120992 1004420241984