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1142980416 = 263319311123
BaseRepresentation
bin100010000100000…
…0111111101000000
32221122201102101000
41010020013331000
54320100333131
6305230012000
740216113264
oct10410077500
92848642330
101142980416
11537201116
1227a947000
13152a4bc96
14abb2a0a4
156a525ce6
hex44207f40

1142980416 has 224 divisors, whose sum is σ = 3654348800. Its totient is φ = 348986880.

The previous prime is 1142980409. The next prime is 1142980427. The reversal of 1142980416 is 6140892411.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017231 + ... + 1018353.

Almost surely, 21142980416 is an apocalyptic number.

1142980416 is a gapful number since it is divisible by the number (16) 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 1142980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827174400).

1142980416 is an abundant number, since it is smaller than the sum of its proper divisors (2511368384).

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

1142980416 is a wasteful number, since it uses less digits than its factorization.

1142980416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1142980416 is about 33807.9933743486. The cubic root of 1142980416 is about 1045.5535069742.

The spelling of 1142980416 in words is "one billion, one hundred forty-two million, nine hundred eighty thousand, four hundred sixteen".