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40130603104 = 25173110123561
BaseRepresentation
bin100101010111111110…
…000110100001100000
310211120202210212021111
4211113332012201200
51124141413244404
630234042033104
72620321332604
oct452776064140
9124522725244
1040130603104
1116023752099
12793b7a8794
133a2714c6c7
141d29a87504
15109d1d4104
hex957f86860

40130603104 has 96 divisors (see below), whose sum is σ = 87211821312. Its totient is φ = 18094080000.

The previous prime is 40130603101. The next prime is 40130603119.

40130603104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401306031042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40130603101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1691484 + ... + 1715044.

It is an arithmetic number, because the mean of its divisors is an integer number (908456472).

Almost surely, 240130603104 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 40130603104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43605910656).

40130603104 is an abundant number, since it is smaller than the sum of its proper divisors (47081218208).

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

40130603104 is a wasteful number, since it uses less digits than its factorization.

40130603104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23720 (or 23712 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The spelling of 40130603104 in words is "forty billion, one hundred thirty million, six hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 101 124 136 202 248 272 404 496 527 544 808 992 1054 1616 1717 2108 3131 3232 3434 4216 6262 6868 8432 12524 13736 16864 23561 25048 27472 47122 50096 53227 54944 94244 100192 106454 188488 212908 376976 400537 425816 730391 753952 801074 851632 1460782 1602148 1703264 2379661 2921564 3204296 4759322 5843128 6408592 9518644 11686256 12416647 12817184 19037288 23372512 24833294 38074576 40454237 49666588 73769491 76149152 80908474 99333176 147538982 161816948 198666352 295077964 323633896 397332704 590155928 647267792 1180311856 1254081347 1294535584 2360623712 2508162694 5016325388 10032650776 20065301552 40130603104