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1040312144 = 241721571433
BaseRepresentation
bin111110000000011…
…110011101010000
32200111112022222102
4332000132131100
54112304442034
6251121255532
734531336004
oct7600363520
92614468872
101040312144
11494257a03
122504945a8
131376b2b21
149c242704
15614e597e
hex3e01e750

1040312144 has 60 divisors (see below), whose sum is σ = 2156285724. Its totient is φ = 486100992.

The previous prime is 1040312137. The next prime is 1040312179. The reversal of 1040312144 is 4412130401.

It can be written as a sum of positive squares in 6 ways, for example, as 135024400 + 905287744 = 11620^2 + 30088^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 725252 + ... + 726684.

Almost surely, 21040312144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078142862).

1040312144 is an abundant number, since it is smaller than the sum of its proper divisors (1115973580).

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

1040312144 is a wasteful number, since it uses less digits than its factorization.

1040312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1040312144 is about 32253.8702173863. The cubic root of 1040312144 is about 1013.2607563825.

Adding to 1040312144 its reverse (4412130401), we get a palindrome (5452442545).

The spelling of 1040312144 in words is "one billion, forty million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 157 272 289 314 578 628 1156 1256 1433 2312 2512 2669 2866 4624 5338 5732 10676 11464 21352 22928 24361 42704 45373 48722 90746 97444 181492 194888 224981 362984 389776 414137 449962 725968 828274 899924 1656548 1799848 3313096 3599696 3824677 6626192 7649354 15298708 30597416 61194832 65019509 130039018 260078036 520156072 1040312144