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1144022464 = 261311171231
BaseRepresentation
bin100010000110000…
…0110010111000000
32221201200100210101
41010030012113000
54320332204324
6305304212144
740231013314
oct10414062700
92851610711
101144022464
11537853012
1227b16a054
13153025390
14abd1bb44
156a67e944
hex443065c0

1144022464 has 56 divisors (see below), whose sum is σ = 2448974528. Its totient is φ = 527109120.

The previous prime is 1144022459. The next prime is 1144022501. The reversal of 1144022464 is 4642204411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 928729 + ... + 929959.

It is an arithmetic number, because the mean of its divisors is an integer number (43731688).

Almost surely, 21144022464 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 1144022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224487264).

1144022464 is an abundant number, since it is smaller than the sum of its proper divisors (1304952064).

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

1144022464 is a wasteful number, since it uses less digits than its factorization.

1144022464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 1144022464 is about 33823.4011299869. The cubic root of 1144022464 is about 1045.8711519637.

Adding to 1144022464 its reverse (4642204411), we get a palindrome (5786226875).

The spelling of 1144022464 in words is "one billion, one hundred forty-four million, twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1117 1231 2234 2462 4468 4924 8936 9848 14521 16003 17872 19696 29042 32006 35744 39392 58084 64012 71488 78784 116168 128024 232336 256048 464672 512096 929344 1024192 1375027 2750054 5500108 11000216 17875351 22000432 35750702 44000864 71501404 88001728 143002808 286005616 572011232 1144022464