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1424261916 = 2232711618423
BaseRepresentation
bin101010011100100…
…1000001100011100
310200021000000001100
41110321020030130
510404102340131
6353154513100
750203012050
oct12471101434
93607000040
101424261916
11670a60070
12338b95790
131990c4a3c
14d7229c60
15850887e6
hex54e4831c

1424261916 has 144 divisors (see below), whose sum is σ = 4562707968. Its totient is φ = 363830400.

The previous prime is 1424261911. The next prime is 1424261929. The reversal of 1424261916 is 6191624241.

1424261916 is a `hidden beast` number, since 1 + 4 + 24 + 2 + 619 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424261911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164881 + ... + 173303.

It is an arithmetic number, because the mean of its divisors is an integer number (31685472).

Almost surely, 21424261916 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 1424261916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281353984).

1424261916 is an abundant number, since it is smaller than the sum of its proper divisors (3138446052).

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

1424261916 is a wasteful number, since it uses less digits than its factorization.

1424261916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8512 (or 8507 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1424261916 is about 37739.3947487238. The cubic root of 1424261916 is about 1125.1142378808.

The spelling of 1424261916 in words is "one billion, four hundred twenty-four million, two hundred sixty-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 61 63 66 77 84 99 122 126 132 154 183 198 231 244 252 308 366 396 427 462 549 671 693 732 854 924 1098 1281 1342 1386 1708 2013 2196 2562 2684 2772 3843 4026 4697 5124 6039 7686 8052 8423 9394 12078 14091 15372 16846 18788 24156 25269 28182 33692 42273 50538 56364 58961 75807 84546 92653 101076 117922 151614 169092 176883 185306 235844 277959 303228 353766 370612 513803 530649 555918 648571 707532 833877 1027606 1061298 1111836 1297142 1541409 1667754 1945713 2055212 2122596 2594284 3082818 3335508 3596621 3891426 4624227 5651833 5837139 6165636 7193242 7782852 9248454 10789863 11303666 11674278 14386484 16955499 18496908 21579726 22607332 23348556 32369589 33910998 39562831 43159452 50866497 64739178 67821996 79125662 101732994 118688493 129478356 158251324 203465988 237376986 356065479 474753972 712130958 1424261916