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1144303496 = 237315312437
BaseRepresentation
bin100010000110100…
…1010111110001000
32221202012122021222
41010031022332020
54320420202441
6305314221212
740233263540
oct10415127610
92852178258
101144303496
11537a25176
1227b284808
131530c327b
14abd92320
156a6d7d4b
hex4434af88

1144303496 has 64 divisors (see below), whose sum is σ = 2579143680. Its totient is φ = 465603840.

The previous prime is 1144303493. The next prime is 1144303499. The reversal of 1144303496 is 6943034411.

It is an interprime number because it is at equal distance from previous prime (1144303493) and next prime (1144303499).

It is not an unprimeable number, because it can be changed into a prime (1144303493) 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 15 ways as a sum of consecutive naturals, for example, 85790 + ... + 98226.

It is an arithmetic number, because the mean of its divisors is an integer number (40299120).

Almost surely, 21144303496 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 1144303496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289571840).

1144303496 is an abundant number, since it is smaller than the sum of its proper divisors (1434840184).

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

1144303496 is a wasteful number, since it uses less digits than its factorization.

1144303496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12534 (or 12530 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 1144303496 is about 33827.5552767267. Note that the first 3 decimals coincide. The cubic root of 1144303496 is about 1045.9567852464.

The spelling of 1144303496 in words is "one billion, one hundred forty-four million, three hundred three thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 31 53 56 62 106 124 212 217 248 371 424 434 742 868 1484 1643 1736 2968 3286 6572 11501 12437 13144 23002 24874 46004 49748 87059 92008 99496 174118 348236 385547 659161 696472 771094 1318322 1542188 2636644 2698829 3084376 4614127 5273288 5397658 9228254 10795316 18456508 20433991 21590632 36913016 40867982 81735964 143037937 163471928 286075874 572151748 1144303496