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10042214424 = 23311294632833
BaseRepresentation
bin10010101101001000…
…00000100000011000
3221220212012100102120
421112210000200120
5131031301330144
64340251301240
7503566262034
oct112644004030
927825170376
1010042214424
114293628370
121b4314a820
13c4067ac18
146b39d11c4
153db94ae19
hex256900818

10042214424 has 128 divisors (see below), whose sum is σ = 28403481600. Its totient is φ = 2930780160.

The previous prime is 10042214417. The next prime is 10042214443. The reversal of 10042214424 is 42441224001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10042214394 and 10042214403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3543312 + ... + 3546144.

It is an arithmetic number, because the mean of its divisors is an integer number (221902200).

Almost surely, 210042214424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042214424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14201740800).

10042214424 is an abundant number, since it is smaller than the sum of its proper divisors (18361267176).

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

10042214424 is a wasteful number, since it uses less digits than its factorization.

10042214424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10042214424 its reverse (42441224001), we get a palindrome (52483438425).

The spelling of 10042214424 in words is "ten billion, forty-two million, two hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 463 638 696 926 957 1276 1389 1852 1914 2552 2778 2833 3704 3828 5093 5556 5666 7656 8499 10186 11112 11332 13427 15279 16998 20372 22664 26854 30558 31163 33996 40281 40744 53708 61116 62326 67992 80562 82157 93489 107416 122232 124652 147697 161124 164314 186978 246471 249304 295394 322248 328628 373956 443091 492942 590788 657256 747912 886182 903727 985884 1181576 1311679 1772364 1807454 1971768 2623358 2711181 3544728 3614908 3935037 5246716 5422362 7229816 7870074 10493432 10844724 14428469 15740148 21689448 28856938 31480296 38038691 43285407 57713876 76077382 86570814 114116073 115427752 152154764 173141628 228232146 304309528 346283256 418425601 456464292 836851202 912928584 1255276803 1673702404 2510553606 3347404808 5021107212 10042214424