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424333421334 = 234127149913759
BaseRepresentation
bin1100010110011000011…
…11100010101100010110
31111120021112012020210000
412023030033202230112
523423013323440314
6522534105512130
742441243366234
oct6131417425426
91446245166700
10424333421334
11153a60176a69
126a2a44a2646
1331025a377c4
1416775bd1954
15b087ceb209
hex62cc3e2b16

424333421334 has 80 divisors (see below), whose sum is σ = 959016960000. Its totient is φ = 140226929136.

The previous prime is 424333421329. The next prime is 424333421437. The reversal of 424333421334 is 433124333424.

424333421334 is a `hidden beast` number, since 4 + 2 + 433 + 3 + 4 + 213 + 3 + 4 = 666.

It is a super-2 number, since 2×4243334213342 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30833547 + ... + 30847305.

It is an arithmetic number, because the mean of its divisors is an integer number (11987712000).

Almost surely, 2424333421334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424333421334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479508480000).

424333421334 is an abundant number, since it is smaller than the sum of its proper divisors (534683538666).

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

424333421334 is a wasteful number, since it uses less digits than its factorization.

424333421334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15399 (or 15390 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 424333421334 its reverse (433124333424), we get a palindrome (857457754758).

The spelling of 424333421334 in words is "four hundred twenty-four billion, three hundred thirty-three million, four hundred twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 254 381 762 1143 1499 2286 2998 3429 4497 6858 8994 10287 13491 13759 20574 26982 27518 40473 41277 80946 82554 121419 123831 190373 242838 247662 371493 380746 571119 742986 1114479 1142238 1713357 1747393 2228958 3426714 3494786 5140071 5242179 10280142 10484358 15420213 15726537 20624741 30840426 31453074 41249482 47179611 61874223 94359222 123748446 141538833 185622669 283077666 371245338 556868007 1113736014 1670604021 2619342107 3341208042 5238684214 7858026321 15716052642 23574078963 47148157926 70722236889 141444473778 212166710667 424333421334