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1220314424004 = 22321317659232751
BaseRepresentation
bin10001110000100000011…
…010000110001011000100
311022122211210212202212200
4101300200122012023010
5124443200443032004
62332334341114500
7154110346313004
oct21604032061304
94278753782780
101220314424004
11430594751565
121786089b8a30
138b0c9170840
14430c649a004
1521b23364239
hex11c206862c4

1220314424004 has 144 divisors (see below), whose sum is σ = 3522729450240. Its totient is φ = 352856448000.

The previous prime is 1220314423891. The next prime is 1220314424011. The reversal of 1220314424004 is 4004244130221.

1220314424004 is a `hidden beast` number, since 1 + 2 + 203 + 14 + 42 + 400 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5126629 + ... + 5359379.

It is an arithmetic number, because the mean of its divisors is an integer number (24463398960).

Almost surely, 21220314424004 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 1220314424004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761364725120).

1220314424004 is an abundant number, since it is smaller than the sum of its proper divisors (2302415026236).

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

1220314424004 is a wasteful number, since it uses less digits than its factorization.

1220314424004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233450 (or 233445 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1220314424004 its reverse (4004244130221), we get a palindrome (5224558554225).

The spelling of 1220314424004 in words is "one trillion, two hundred twenty billion, three hundred fourteen million, four hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 659 663 884 1318 1326 1977 1989 2636 2652 3954 3978 5931 7908 7956 8567 11203 11862 17134 22406 23724 25701 33609 34268 44812 51402 67218 77103 100827 102804 134436 145639 154206 201654 232751 291278 308412 403308 436917 465502 582556 698253 873834 931004 1310751 1396506 1747668 2094759 2621502 2793012 3025763 3956767 4189518 5243004 6051526 7913534 8379036 9077289 11870301 12103052 15827068 18154578 23740602 27231867 35610903 36309156 47481204 51437971 54463734 71221806 102875942 108927468 142443612 153382909 154313913 205751884 306765818 308627826 460148727 462941739 613531636 617255652 920297454 925883478 1380446181 1840594908 1851766956 1993977817 2607509453 2760892362 3987955634 5215018906 5521784724 5981933451 7822528359 7975911268 10430037812 11963866902 15645056718 17945800353 23467585077 23927733804 31290113436 33897622889 35891600706 46935170154 67795245778 71783201412 93870340308 101692868667 135590491556 203385737334 305078606001 406771474668 610157212002 1220314424004