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1144572480 = 263251133517
BaseRepresentation
bin100010000111000…
…1100101001000000
32221202201022021100
41010032030221000
54321002304410
6305324054400
740235464002
oct10416145100
92852638240
101144572480
11538099277
1227b394400
1315318882c
14ac022372
156a73c8c0
hex4438ca40

1144572480 has 168 divisors, whose sum is σ = 3972821112. Its totient is φ = 302432256.

The previous prime is 1144572479. The next prime is 1144572491. The reversal of 1144572480 is 842754411.

It is a happy number.

1144572480 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 572 + 4 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91699776 + 1052872704 = 9576^2 + 32448^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323682 + ... + 327198.

Almost surely, 21144572480 is an apocalyptic number.

1144572480 is a gapful number since it is divisible by the number (10) 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 1144572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986410556).

1144572480 is an abundant number, since it is smaller than the sum of its proper divisors (2828248632).

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

1144572480 is a wasteful number, since it uses less digits than its factorization.

1144572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 1144572480 is about 33831.5308551062. The cubic root of 1144572480 is about 1046.0387342512.

The spelling of 1144572480 in words is "one billion, one hundred forty-four million, five hundred seventy-two thousand, four hundred eighty".