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1140144140 = 225431379677
BaseRepresentation
bin100001111110101…
…0011100000001100
32221110101022201202
41003331103200030
54313334103030
6305045125032
740153031252
oct10375234014
92843338652
101140144140
11535644193
122799b9778
13152298005
14ab5cc5d2
156a165745
hex43f5380c

1140144140 has 48 divisors (see below), whose sum is σ = 2468122272. Its totient is φ = 442154496.

The previous prime is 1140144127. The next prime is 1140144167. The reversal of 1140144140 is 414410411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112982 + ... + 122658.

It is an arithmetic number, because the mean of its divisors is an integer number (51419214).

Almost surely, 21140144140 is an apocalyptic number.

1140144140 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 1140144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234061136).

1140144140 is an abundant number, since it is smaller than the sum of its proper divisors (1327978132).

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

1140144140 is a wasteful number, since it uses less digits than its factorization.

1140144140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9866 (or 9864 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1140144140 is about 33766.0204939818. The cubic root of 1140144140 is about 1044.6879527375.

Adding to 1140144140 its reverse (414410411), we get a palindrome (1554554551).

The spelling of 1140144140 in words is "one billion, one hundred forty million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 137 172 215 274 430 548 685 860 1370 2740 5891 9677 11782 19354 23564 29455 38708 48385 58910 96770 117820 193540 416111 832222 1325749 1664444 2080555 2651498 4161110 5302996 6628745 8322220 13257490 26514980 57007207 114014414 228028828 285036035 570072070 1140144140