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1000442210004 = 22321731111914447
BaseRepresentation
bin11101000111011110000…
…00001010011011010100
310112122022112112000120100
432203233000022123110
5112342401201210004
62043332524334100
7132164614322016
oct16435700123324
93478275460510
101000442210004
11356315600906
12141a860a4330
1373458a98873
14365c90781b6
151b0554b6739
hexe8ef00a6d4

1000442210004 has 72 divisors (see below), whose sum is σ = 2543918307840. Its totient is φ = 331500336192.

The previous prime is 1000442209999. The next prime is 1000442210017. The reversal of 1000442210004 is 4000122440001.

1000442210004 is a `hidden beast` number, since 10 + 0 + 0 + 442 + 210 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69241909 + ... + 69256355.

It is an arithmetic number, because the mean of its divisors is an integer number (35332198720).

Almost surely, 21000442210004 is an apocalyptic number.

It is an amenable number.

1000442210004 is an abundant number, since it is smaller than the sum of its proper divisors (1543476097836).

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

1000442210004 is a wasteful number, since it uses less digits than its factorization.

1000442210004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25749 (or 25744 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1000442210004 its reverse (4000122440001), we get a palindrome (5000564650005).

The spelling of 1000442210004 in words is "one trillion, four hundred forty-two million, two hundred ten thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 11119 14447 22238 28894 33357 43341 44476 57788 66714 86682 100071 130023 133428 173364 200142 260046 400284 520092 1923587 2499331 3847174 4998662 5770761 7497993 7694348 9997324 11541522 14995986 17312283 22493979 23083044 29991972 34624566 44987958 69249132 89975916 160636193 321272386 481908579 642544772 963817158 1445725737 1927634316 2891451474 5782902948 27790061389 55580122778 83370184167 111160245556 166740368334 250110552501 333480736668 500221105002 1000442210004