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424204422224256 = 27321291285230833
BaseRepresentation
bin110000001110011111100100…
…1111001100001100110000000
32001121222112202112220021110200
41200130333021321201212000
5421100131124042134011
64102112453220525200
7155231521015134432
oct14034771171414600
92047875675807420
10424204422224256
1111318a0a33a4a93
123b6b17aa850800
13152913c7b9100b
1476a7864348652
1534097e576c856
hex181cfc9e61980

424204422224256 has 96 divisors (see below), whose sum is σ = 1221637957405320. Its totient is φ = 141291944939520.

The previous prime is 424204422224251. The next prime is 424204422224257. The reversal of 424204422224256 is 652422224402424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4242044222242562 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424204422224251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141128185 + ... + 144102648.

Almost surely, 2424204422224256 is an apocalyptic number.

It is an amenable number.

424204422224256 is an abundant number, since it is smaller than the sum of its proper divisors (797433535181064).

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

424204422224256 is a wasteful number, since it uses less digits than its factorization.

424204422224256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285232144 (or 285232129 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 45.

The spelling of 424204422224256 in words is "four hundred twenty-four trillion, two hundred four billion, four hundred twenty-two million, two hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1291 2582 3873 5164 7746 10328 11619 15492 20656 23238 30984 41312 46476 61968 82624 92952 123936 165248 185904 247872 371808 495744 743616 1487232 285230833 570461666 855692499 1140923332 1711384998 2281846664 2567077497 3422769996 4563693328 5134154994 6845539992 9127386656 10268309988 13691079984 18254773312 20536619976 27382159968 36509546624 41073239952 54764319936 82146479904 109528639872 164292959808 328585919616 368233005403 736466010806 1104699016209 1472932021612 2209398032418 2945864043224 3314097048627 4418796064836 5891728086448 6628194097254 8837592129672 11783456172896 13256388194508 17675184259344 23566912345792 26512776389016 35350368518688 47133824691584 53025552778032 70700737037376 106051105556064 141401474074752 212102211112128 424204422224256