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21244636440 = 23325193105941
BaseRepresentation
bin10011110010010001…
…110110110100011000
32000211120112100110200
4103302101312310120
5322002111331230
613432030142200
71351314300366
oct236221666430
960746470420
1021244636440
119012052885
12414a951960
1320074ca0c1
141057714636
15845172160
hex4f2476d18

21244636440 has 96 divisors (see below), whose sum is σ = 72679042800. Its totient is φ = 5367064320.

The previous prime is 21244636423. The next prime is 21244636463. The reversal of 21244636440 is 4463644212.

21244636440 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 4 + 6 + 3 + 644 + 0 = 666.

It is a super-3 number, since 3×212446364403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21244636395 and 21244636404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1546131 + ... + 1559810.

Almost surely, 221244636440 is an apocalyptic number.

21244636440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21244636440 is an abundant number, since it is smaller than the sum of its proper divisors (51434406360).

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

21244636440 is a wasteful number, since it uses less digits than its factorization.

21244636440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105977 (or 3105970 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 21244636440 in words is "twenty-one billion, two hundred forty-four million, six hundred thirty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 3105941 6211882 9317823 12423764 15529705 18635646 24847528 27953469 31059410 37271292 46589115 55906938 59012879 62118820 74542584 93178230 111813876 118025758 124237640 139767345 177038637 186356460 223627752 236051516 279534690 295064395 354077274 372712920 472103032 531115911 559069380 590128790 708154548 885193185 1062231822 1118138760 1180257580 1416309096 1770386370 2124463644 2360515160 2655579555 3540772740 4248927288 5311159110 7081545480 10622318220 21244636440