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10042211104404 = 2237243775914891
BaseRepresentation
bin1001001000100010001001…
…1011001111011010010100
31022120000200221212112100120
42102020202123033122110
52304012422020320104
633205154511311540
72054345231663523
oct222104233173224
938500627775316
1010042211104404
113221972406576
1211622b821b5b0
1357ac9032988b
1426a08d2284ba
1512634aadbcd9
hex922226cf694

10042211104404 has 48 divisors (see below), whose sum is σ = 23439655357440. Its totient is φ = 3346285448160.

The previous prime is 10042211104381. The next prime is 10042211104441. The reversal of 10042211104404 is 40440111224001.

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 15 ways as a sum of consecutive naturals, for example, 674373799 + ... + 674388689.

It is an arithmetic number, because the mean of its divisors is an integer number (488326153280).

Almost surely, 210042211104404 is an apocalyptic number.

It is an amenable number.

10042211104404 is an abundant number, since it is smaller than the sum of its proper divisors (13397444253036).

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

10042211104404 is a wasteful number, since it uses less digits than its factorization.

10042211104404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29900 (or 29898 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10042211104404 its reverse (40440111224001), we get a palindrome (50482322328405).

The spelling of 10042211104404 in words is "ten trillion, forty-two billion, two hundred eleven million, one hundred four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 7243 7759 14486 14891 15518 21729 23277 28972 29782 31036 43458 44673 46554 59564 86916 89346 93108 178692 56198437 107855513 112396874 115539269 168595311 215711026 224793748 231078538 323566539 337190622 346617807 431422052 462157076 647133078 674381244 693235614 1294266156 1386471228 836850925367 1673701850734 2510552776101 3347403701468 5021105552202 10042211104404