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1240142040 = 2332531710867
BaseRepresentation
bin100100111101011…
…0001000011011000
310012102112202001200
41021322301003120
510014434021130
6323020314200
742506014314
oct11172610330
93172482050
101240142040
11587034085
122a73a2960
13169c0a877
14ba9bcb44
1573d19760
hex49eb10d8

1240142040 has 96 divisors (see below), whose sum is σ = 4043548080. Its totient is φ = 329630976.

The previous prime is 1240142039. The next prime is 1240142053. The reversal of 1240142040 is 402410421.

1240142040 is a `hidden beast` number, since 1 + 240 + 1 + 420 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108687 + ... + 119553.

Almost surely, 21240142040 is an apocalyptic number.

1240142040 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 1240142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021774040).

1240142040 is an abundant number, since it is smaller than the sum of its proper divisors (2803406040).

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

1240142040 is a wasteful number, since it uses less digits than its factorization.

1240142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11201 (or 11194 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1240142040 is about 35215.6504980385. The cubic root of 1240142040 is about 1074.3780906157.

Adding to 1240142040 its reverse (402410421), we get a palindrome (1642552461).

The spelling of 1240142040 in words is "one billion, two hundred forty million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 317 360 634 951 1268 1585 1902 2536 2853 3170 3804 4755 5706 6340 7608 9510 10867 11412 12680 14265 19020 21734 22824 28530 32601 38040 43468 54335 57060 65202 86936 97803 108670 114120 130404 163005 195606 217340 260808 326010 391212 434680 489015 652020 782424 978030 1304040 1956060 3444839 3912120 6889678 10334517 13779356 17224195 20669034 27558712 31003551 34448390 41338068 51672585 62007102 68896780 82676136 103345170 124014204 137793560 155017755 206690340 248028408 310035510 413380680 620071020 1240142040