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1004151314140 = 225139091424829
BaseRepresentation
bin11101001110011000001…
…01010001011011011100
310112222220000212000220121
432213030011101123130
5112423000214023030
62045144543324324
7132355543224502
oct16471405213334
93488800760817
101004151314140
11357949269727
121427402b06a4
13738ca359340
143685b908672
151b1c0e2a47a
hexe9cc1516dc

1004151314140 has 48 divisors (see below), whose sum is σ = 2271181963680. Its totient is φ = 370721905920.

The previous prime is 1004151314129. The next prime is 1004151314167. The reversal of 1004151314140 is 414131514001.

1004151314140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2151246 + ... + 2576074.

It is an arithmetic number, because the mean of its divisors is an integer number (47316290910).

Almost surely, 21004151314140 is an apocalyptic number.

1004151314140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004151314140 is an abundant number, since it is smaller than the sum of its proper divisors (1267030649540).

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

1004151314140 is a wasteful number, since it uses less digits than its factorization.

1004151314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433942 (or 433940 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 1004151314140 its reverse (414131514001), we get a palindrome (1418282828141).

The spelling of 1004151314140 in words is "one trillion, four billion, one hundred fifty-one million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 9091 18182 36364 45455 90910 118183 181820 236366 424829 472732 590915 849658 1181830 1699316 2124145 2363660 4248290 5522777 8496580 11045554 22091108 27613885 55227770 110455540 3862120439 7724240878 15448481756 19310602195 38621204390 50207565707 77242408780 100415131414 200830262828 251037828535 502075657070 1004151314140