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1315145446240 = 25537222152947
BaseRepresentation
bin10011001000110100110…
…001101111001101100000
311122201121202011211122111
4103020310301233031200
5133021404213234430
62444100335045104
7164005346563333
oct23106461571540
94581552154574
101315145446240
1146782835610a
12192a73670794
139702cb09752
1447920c3061a
15243238b9c2a
hex13234c6f360

1315145446240 has 48 divisors (see below), whose sum is σ = 3191004945072. Its totient is φ = 511840387584.

The previous prime is 1315145446231. The next prime is 1315145446271. The reversal of 1315145446240 is 426445415131.

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

It is a junction number, because it is equal to n+sod(n) for n = 1315145446193 and 1315145446202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111070554 + ... + 111082393.

It is an arithmetic number, because the mean of its divisors is an integer number (66479269689).

Almost surely, 21315145446240 is an apocalyptic number.

1315145446240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1315145446240 is an abundant number, since it is smaller than the sum of its proper divisors (1875859498832).

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

1315145446240 is a wasteful number, since it uses less digits than its factorization.

1315145446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222152999 (or 222152991 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 1315145446240 in words is "one trillion, three hundred fifteen billion, one hundred forty-five million, four hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 222152947 444305894 888611788 1110764735 1777223576 2221529470 3554447152 4443058940 7108894304 8219659039 8886117880 16439318078 17772235760 32878636156 35544471520 41098295195 65757272312 82196590390 131514544624 164393180780 263029089248 328786361560 657572723120 1315145446240