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1142964144 = 243271133893
BaseRepresentation
bin100010000100000…
…0011111110110000
32221122200121001100
41010020003332300
54320044323034
6305225404400
740216014660
oct10410037660
92848617040
101142964144
1153719a973
1227a939700
13152a4475a
14abb241a0
156a521099
hex44203fb0

1142964144 has 60 divisors (see below), whose sum is σ = 3655674256. Its totient is φ = 326560896.

The previous prime is 1142964143. The next prime is 1142964161. The reversal of 1142964144 is 4414692411.

It is a happy number.

1142964144 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 9 + 641 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1142964099 and 1142964108.

It is not an unprimeable number, because it can be changed into a prime (1142964143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 565939 + ... + 567954.

Almost surely, 21142964144 is an apocalyptic number.

1142964144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1142964144 is an abundant number, since it is smaller than the sum of its proper divisors (2512710112).

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

1142964144 is a wasteful number, since it uses less digits than its factorization.

1142964144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133914 (or 1133905 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1142964144 is about 33807.7527203451. The cubic root of 1142964144 is about 1045.5485452889.

The spelling of 1142964144 in words is "one billion, one hundred forty-two million, nine hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1133893 2267786 3401679 4535572 6803358 7937251 9071144 10205037 13606716 15874502 18142288 20410074 23811753 27213432 31749004 40820148 47623506 54426864 63498008 71435259 81640296 95247012 126996016 142870518 163280592 190494024 285741036 380988048 571482072 1142964144