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1424117832 = 233796911087
BaseRepresentation
bin101010011100010…
…0101000001001000
310200020201200101220
41110320211001020
510404033232312
6353151442040
750201542014
oct12470450110
93606650356
101424117832
11670971895
12338b26320
13199074297
14d71cd544
158505ac8c
hex54e25048

1424117832 has 64 divisors (see below), whose sum is σ = 3613900800. Its totient is φ = 467588160.

The previous prime is 1424117831. The next prime is 1424117833. The reversal of 1424117832 is 2387114241.

It is an interprime number because it is at equal distance from previous prime (1424117831) and next prime (1424117833).

It is a super-2 number, since 2×14241178322 = 4056223198840760448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1424117793 and 1424117802.

It is not an unprimeable number, because it can be changed into a prime (1424117831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1309593 + ... + 1310679.

It is an arithmetic number, because the mean of its divisors is an integer number (56467200).

Almost surely, 21424117832 is an apocalyptic number.

1424117832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1424117832 is an abundant number, since it is smaller than the sum of its proper divisors (2189782968).

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

1424117832 is a wasteful number, since it uses less digits than its factorization.

1424117832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1862 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 1424117832 is about 37737.4857668075. The cubic root of 1424117832 is about 1125.0762962577.

The spelling of 1424117832 in words is "one billion, four hundred twenty-four million, one hundred seventeen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 632 691 948 1087 1382 1896 2073 2174 2764 3261 4146 4348 5528 6522 8292 8696 13044 16584 26088 54589 85873 109178 163767 171746 218356 257619 327534 343492 436712 515238 655068 686984 751117 1030476 1310136 1502234 2060952 2253351 3004468 4506702 6008936 9013404 18026808 59338243 118676486 178014729 237352972 356029458 474705944 712058916 1424117832