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21244973040 = 24325231282909
BaseRepresentation
bin10011110010010011…
…001000111111110000
32000211121011110012100
4103302103020333300
5322002203114130
613432041300400
71351320201624
oct236223107760
960747143170
1021244973040
119012262765
12414aa94700
1320075b7385
1410577a1184
158451dbc60
hex4f24c8ff0

21244973040 has 120 divisors (see below), whose sum is σ = 74449833120. Its totient is φ = 5419003392.

The previous prime is 21244973027. The next prime is 21244973053. The reversal of 21244973040 is 4037944212.

21244973040 is a `hidden beast` number, since 2 + 124 + 497 + 3 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (21244973027) and next prime (21244973053).

It is a tau number, because it is divible by the number of its divisors (120).

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 = 21244972986 and 21244973004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624895 + ... + 658014.

It is an arithmetic number, because the mean of its divisors is an integer number (620415276).

Almost surely, 221244973040 is an apocalyptic number.

21244973040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21244973040 is an abundant number, since it is smaller than the sum of its proper divisors (53204860080).

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

21244973040 is a wasteful number, since it uses less digits than its factorization.

21244973040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282951 (or 1282942 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 21244973040 in words is "twenty-one billion, two hundred forty-four million, nine hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 1282909 2565818 3848727 5131636 6414545 7697454 10263272 11546181 12829090 15394908 19243635 20526544 23092362 25658180 29506907 30789816 38487270 46184724 51316360 57730905 59013814 61579632 76974540 88520721 92369448 102632720 115461810 118027628 147534535 153949080 177041442 184738896 230923620 236055256 265562163 295069070 307898160 354082884 442603605 461847240 472110512 531124326 590138140 708165768 885207210 923694480 1062248652 1180276280 1327810815 1416331536 1770414420 2124497304 2360552560 2655621630 3540828840 4248994608 5311243260 7081657680 10622486520 21244973040