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1144953264 = 243713172907
BaseRepresentation
bin100010000111110…
…1001100110110000
32221210102122121110
41010033221212300
54321102001024
6305340153320
740241641110
oct10417514660
92853378543
101144953264
11538329374
1227b538840
1315328cc50
14ac0c1040
156a7b5629
hex443e99b0

1144953264 has 240 divisors, whose sum is σ = 3871363328. Its totient is φ = 283889664.

The previous prime is 1144953259. The next prime is 1144953289. The reversal of 1144953264 is 4623594411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1261899 + ... + 1262805.

Almost surely, 21144953264 is an apocalyptic number.

1144953264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144953264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935681664).

1144953264 is an abundant number, since it is smaller than the sum of its proper divisors (2726410064).

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

1144953264 is a wasteful number, since it uses less digits than its factorization.

1144953264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 949 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 1144953264 is about 33837.1580366910. The cubic root of 1144953264 is about 1046.1547224352.

It can be divided in two parts, 114 and 4953264, that added together give a triangular number (4953378 = T3147).

The spelling of 1144953264 in words is "one billion, one hundred forty-four million, nine hundred fifty-three thousand, two hundred sixty-four".