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21430441956 = 223711153115149
BaseRepresentation
bin10011111101010110…
…101001011111100100
32001022112011020201110
4103331112221133210
5322342143120311
613502304425020
71356031515420
oct237526513744
961275136643
1021430441956
1190a7a20260
1241a1018170
132036b545b1
14107427db80
158566258a6
hex4fd5a97e4

21430441956 has 96 divisors (see below), whose sum is σ = 62387942400. Its totient is φ = 5562345600.

The previous prime is 21430441897. The next prime is 21430441957. The reversal of 21430441956 is 65914403412.

It is not an unprimeable number, because it can be changed into a prime (21430441957) 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, 1407070 + ... + 1422218.

It is an arithmetic number, because the mean of its divisors is an integer number (649874400).

Almost surely, 221430441956 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 21430441956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31193971200).

21430441956 is an abundant number, since it is smaller than the sum of its proper divisors (40957500444).

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

21430441956 is a wasteful number, since it uses less digits than its factorization.

21430441956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16705 (or 16703 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 21430441956 in words is "twenty-one billion, four hundred thirty million, four hundred forty-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1531 3062 4593 6124 9186 10717 15149 16841 18372 21434 30298 32151 33682 42868 45447 50523 60596 64302 67364 90894 101046 106043 117887 128604 166639 181788 202092 212086 235774 318129 333278 353661 424172 471548 499917 636258 666556 707322 999834 1166473 1272516 1414644 1999668 2332946 3499419 4665892 6998838 13997676 23193119 46386238 69579357 92772476 139158714 162351833 255124309 278317428 324703666 487055499 510248618 649407332 765372927 974110998 1020497236 1530745854 1785870163 1948221996 3061491708 3571740326 5357610489 7143480652 10715220978 21430441956