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1304352035040 = 253519713793909
BaseRepresentation
bin10010111110110001011…
…100001001000011100000
311121200202112110201222010
4102332301130021003200
5132332303110110130
62435113330512520
7163144026236235
oct22766134110340
94550675421863
101304352035040
114631997a056a
12190960a35740
1395ccc9353c2
14471b957978c
1523de10370b0
hex12fb17090e0

1304352035040 has 96 divisors (see below), whose sum is σ = 4129565600160. Its totient is φ = 346061563904.

The previous prime is 1304352035003. The next prime is 1304352035057. The reversal of 1304352035040 is 405302534031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1304352034989 and 1304352035007.

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, 6802395 + ... + 6991514.

It is an arithmetic number, because the mean of its divisors is an integer number (43016308335).

Almost surely, 21304352035040 is an apocalyptic number.

1304352035040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304352035040 is an abundant number, since it is smaller than the sum of its proper divisors (2825213565120).

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

1304352035040 is a wasteful number, since it uses less digits than its factorization.

1304352035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13794124 (or 13794116 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 1304352035040 its reverse (405302534031), we get a palindrome (1709654569071).

The spelling of 1304352035040 in words is "one trillion, three hundred four billion, three hundred fifty-two million, thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 197 240 394 480 591 788 985 1182 1576 1970 2364 2955 3152 3940 4728 5910 6304 7880 9456 11820 15760 18912 23640 31520 47280 94560 13793909 27587818 41381727 55175636 68969545 82763454 110351272 137939090 165526908 206908635 220702544 275878180 331053816 413817270 441405088 551756360 662107632 827634540 1103512720 1324215264 1655269080 2207025440 2717400073 3310538160 5434800146 6621076320 8152200219 10869600292 13587000365 16304400438 21739200584 27174000730 32608800876 40761001095 43478401168 54348001460 65217601752 81522002190 86956802336 108696002920 130435203504 163044004380 217392005840 260870407008 326088008760 434784011680 652176017520 1304352035040