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1040131333024 = 25743211511787
BaseRepresentation
bin11110010001011001010…
…10001001101110100000
310200102202112121101000121
433020230222021232200
5114020142110124044
62113455120130024
7135101265311650
oct17105452115640
93612675541017
101040131333024
11371132026423
12149701a66914
1377112612544
14384b2240360
151c0c9a41984
hexf22ca89ba0

1040131333024 has 96 divisors (see below), whose sum is σ = 2406075065856. Its totient is φ = 433339441920.

The previous prime is 1040131333019. The next prime is 1040131333081. The reversal of 1040131333024 is 4203331310401.

It is a self number, because there is not a number n which added to its sum of digits gives 1040131333024.

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, 1776459 + ... + 2288245.

It is an arithmetic number, because the mean of its divisors is an integer number (25063281936).

Almost surely, 21040131333024 is an apocalyptic number.

1040131333024 is a gapful number since it is divisible by the number (14) 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 1040131333024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203037532928).

1040131333024 is an abundant number, since it is smaller than the sum of its proper divisors (1365943732832).

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

1040131333024 is a wasteful number, since it uses less digits than its factorization.

1040131333024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512058 (or 512050 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1040131333024 its reverse (4203331310401), we get a palindrome (5243462643425).

The spelling of 1040131333024 in words is "one trillion, forty billion, one hundred thirty-one million, three hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 211 224 301 344 422 602 688 844 1204 1376 1477 1688 2408 2954 3376 4816 5908 6752 9073 9632 11816 18146 23632 36292 47264 63511 72584 127022 145168 254044 290336 508088 511787 1016176 1023574 2032352 2047148 3582509 4094296 7165018 8188592 14330036 16377184 22006841 28660072 44013682 57320144 88027364 107987057 114640288 154047887 176054728 215974114 308095774 352109456 431948228 616191548 704218912 755909399 863896456 1232383096 1511818798 1727792912 2464766192 3023637596 3455585824 4643443451 4929532384 6047275192 9286886902 12094550384 18573773804 24189100768 32504104157 37147547608 65008208314 74295095216 130016416628 148590190432 260032833256 520065666512 1040131333024