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1014013014340 = 2254159157133499
BaseRepresentation
bin11101100000101111110…
…00101011000101000100
310120221100022101022101011
432300113320223011010
5113103144312424330
62053455310012004
7133155121260154
oct16602770530504
93527308338334
101014013014340
11361049a02a87
12144632aa7004
137480c4b32c1
143711554a764
151b59baba82a
hexec17e2b144

1014013014340 has 96 divisors (see below), whose sum is σ = 2232483120000. Its totient is φ = 386524769280.

The previous prime is 1014013014331. The next prime is 1014013014397. The reversal of 1014013014340 is 434103104101.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 7528911 + ... + 7662409.

It is an arithmetic number, because the mean of its divisors is an integer number (23255032500).

Almost surely, 21014013014340 is an apocalyptic number.

1014013014340 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 1014013014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116241560000).

1014013014340 is an abundant number, since it is smaller than the sum of its proper divisors (1218470105660).

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

1014013014340 is a wasteful number, since it uses less digits than its factorization.

1014013014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133765 (or 133763 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1014013014340 its reverse (434103104101), we get a palindrome (1448116118441).

The spelling of 1014013014340 in words is "one trillion, fourteen billion, thirteen million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 59 82 118 157 164 205 236 295 314 410 590 628 785 820 1180 1570 2419 3140 4838 6437 9263 9676 12095 12874 18526 24190 25748 32185 37052 46315 48380 64370 92630 128740 133499 185260 266998 379783 533996 667495 759566 1334990 1519132 1898915 2669980 3797830 5473459 7595660 7876441 10946918 15752882 20959343 21893836 27367295 31505764 39382205 41918686 54734590 78764410 83837372 104796715 109469180 157528820 209593430 322934081 419186860 645868162 859333063 1236601237 1291736324 1614670405 1718666126 2473202474 3229340810 3437332252 4296665315 4946404948 6183006185 6458681620 8593330630 12366012370 17186661260 24732024740 50700650717 101401301434 202802602868 253503253585 507006507170 1014013014340