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1144042600 = 235231184523
BaseRepresentation
bin100010000110000…
…1011010001101000
32221201201101102011
41010030023101220
54320333330400
6305304445304
740231126111
oct10414132150
92851641364
101144042600
11537867158
1227b179834
131530315ac
14abd25208
156a6858ba
hex4430b468

1144042600 has 48 divisors (see below), whose sum is σ = 2745717120. Its totient is φ = 442852800.

The previous prime is 1144042597. The next prime is 1144042607. The reversal of 1144042600 is 62404411.

It is a super-2 number, since 2×11440426002 = 2617666941229520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1144042607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 86062 + ... + 98461.

It is an arithmetic number, because the mean of its divisors is an integer number (57202440).

Almost surely, 21144042600 is an apocalyptic number.

1144042600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144042600 is an abundant number, since it is smaller than the sum of its proper divisors (1601674520).

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

1144042600 is a wasteful number, since it uses less digits than its factorization.

1144042600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184570 (or 184561 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1144042600 is about 33823.6987924148. The cubic root of 1144042600 is about 1045.8772880722.

The spelling of 1144042600 in words is "one billion, one hundred forty-four million, forty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 184523 369046 738092 922615 1476184 1845230 3690460 4613075 5720213 7380920 9226150 11440426 18452300 22880852 28601065 36904600 45761704 57202130 114404260 143005325 228808520 286010650 572021300 1144042600