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1144014984 = 2332761127293
BaseRepresentation
bin100010000110000…
…0100100010001000
32221201122222112100
41010030010202020
54320331434414
6305304113400
740230652440
oct10414044210
92851588470
101144014984
11537848432
1227b165860
13153021b58
14abd19120
156a67c609
hex44304888

1144014984 has 192 divisors, whose sum is σ = 3639767040. Its totient is φ = 317882880.

The previous prime is 1144014967. The next prime is 1144015001. The reversal of 1144014984 is 4894104411.

It is an interprime number because it is at equal distance from previous prime (1144014967) and next prime (1144015001).

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 47 ways as a sum of consecutive naturals, for example, 3904342 + ... + 3904634.

It is an arithmetic number, because the mean of its divisors is an integer number (18957120).

Almost surely, 21144014984 is an apocalyptic number.

1144014984 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 1144014984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819883520).

1144014984 is an abundant number, since it is smaller than the sum of its proper divisors (2495752056).

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

1144014984 is a wasteful number, since it uses less digits than its factorization.

1144014984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1144014984 is about 33823.2905554738. The cubic root of 1144014984 is about 1045.8688725407.

The spelling of 1144014984 in words is "one billion, one hundred forty-four million, fourteen thousand, nine hundred eighty-four".