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4242010212324 = 22323475235471187
BaseRepresentation
bin111101101110101011100…
…000110000011111100100
3120000112100222121021211100
4331232223200300133210
51024000114103243244
613004430320440100
7615321652605213
oct75565340603744
916015328537740
104242010212324
1113960321a3105
12586168779030
1324a0347ab8c1
1410945898507a
1575527644b69
hex3dbab8307e4

4242010212324 has 144 divisors (see below), whose sum is σ = 10803113088768. Its totient is φ = 1403476611264.

The previous prime is 4242010212301. The next prime is 4242010212331. The reversal of 4242010212324 is 4232120102424.

It is a happy number.

4242010212324 is a `hidden beast` number, since 4 + 2 + 420 + 1 + 0 + 2 + 1 + 232 + 4 = 666.

It is a super-2 number, since 2×42420102123242 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3573723259 + ... + 3573724445.

It is an arithmetic number, because the mean of its divisors is an integer number (75021618672).

Almost surely, 24242010212324 is an apocalyptic number.

It is an amenable number.

4242010212324 is an abundant number, since it is smaller than the sum of its proper divisors (6561102876444).

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

4242010212324 is a wasteful number, since it uses less digits than its factorization.

4242010212324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2609 counting only the distinct ones).

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

Adding to 4242010212324 its reverse (4232120102424), we get a palindrome (8474130314748).

The spelling of 4242010212324 in words is "four trillion, two hundred forty-two billion, ten million, two hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 347 523 547 694 1041 1046 1094 1187 1388 1569 1641 2082 2092 2188 2374 3123 3138 3282 3561 4164 4707 4748 4923 6246 6276 6564 7122 9414 9846 10683 12492 14244 18828 19692 21366 42732 181481 189809 286081 362962 379618 411889 544443 569427 572162 620801 649289 725924 759236 823778 858243 1088886 1138854 1144324 1235667 1241602 1298578 1633329 1647556 1708281 1716486 1862403 1947867 2177772 2277708 2471334 2483204 2574729 2597156 3266658 3416562 3432972 3707001 3724806 3895734 4942668 5149458 5587209 5843601 6533316 6833124 7414002 7449612 7791468 10298916 11174418 11687202 14828004 22348836 23374404 99270107 198540214 215417947 225303283 297810321 339578147 397080428 430835894 450606566 595620642 646253841 675909849 679156294 861671788 893430963 901213132 1018734441 1191241284 1292507682 1351819698 1358312588 1786861926 1938761523 2027729547 2037468882 2585015364 2703639396 3056203323 3573723852 3877523046 4055459094 4074937764 6112406646 7755046092 8110918188 12224813292 117833617009 235667234018 353500851027 471334468036 707001702054 1060502553081 1414003404108 2121005106162 4242010212324