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1315223228560 = 245313517150791
BaseRepresentation
bin10011001000111001011…
…010011101000010010000
311122201211011112120221011
4103020321122131002100
5133022034121303220
62444112154140304
7164010312662053
oct23107132350220
94581734476834
101315223228560
1146786825211a
12192a95721694
1397042c715a7
144792b2baa9a
152432a63165a
hex1323969d090

1315223228560 has 80 divisors (see below), whose sum is σ = 3157454195712. Its totient is φ = 508970534400.

The previous prime is 1315223228551. The next prime is 1315223228587. The reversal of 1315223228560 is 658223225131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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, 8646765 + ... + 8797555.

Almost surely, 21315223228560 is an apocalyptic number.

1315223228560 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 1315223228560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578727097856).

1315223228560 is an abundant number, since it is smaller than the sum of its proper divisors (1842230967152).

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

1315223228560 is a wasteful number, since it uses less digits than its factorization.

1315223228560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154352 (or 154346 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 1315223228560 in words is "one trillion, three hundred fifteen billion, two hundred twenty-three million, two hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 3517 7034 14068 17585 28136 35170 56272 70340 109027 140680 150791 218054 281360 301582 436108 545135 603164 753955 872216 1090270 1206328 1507910 1744432 2180540 2412656 3015820 4361080 4674521 6031640 8722160 9349042 12063280 18698084 23372605 37396168 46745210 74792336 93490420 186980840 373961680 530331947 1060663894 2121327788 2651659735 4242655576 5303319470 8485311152 10606638940 16440290357 21213277880 32880580714 42426555760 65761161428 82201451785 131522322856 164402903570 263044645712 328805807140 657611614280 1315223228560