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1415205434340 = 2232513956562967
BaseRepresentation
bin10100100110000000110…
…100010011001111100100
312000021220002200220002200
4110212000310103033210
5141141320042344330
63002045243534500
7204150052466265
oct24460064231744
95007802626080
101415205434340
114a6204634155
121aa33952a430
13a35b7b908b9
144c6d3c2896c
1526c2d003a60
hex14980d133e4

1415205434340 has 72 divisors (see below), whose sum is σ = 4323673273920. Its totient is φ = 374673086784.

The previous prime is 1415205434297. The next prime is 1415205434477. The reversal of 1415205434340 is 434345025141.

1415205434340 is a `hidden beast` number, since 1 + 4 + 1 + 520 + 54 + 3 + 43 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1415205434295 and 1415205434304.

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 23 ways as a sum of consecutive naturals, for example, 28256464 + ... + 28306503.

Almost surely, 21415205434340 is an apocalyptic number.

1415205434340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1415205434340 is an abundant number, since it is smaller than the sum of its proper divisors (2908467839580).

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

1415205434340 is a wasteful number, since it uses less digits than its factorization.

1415205434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56563121 (or 56563116 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 1415205434340 in words is "one trillion, four hundred fifteen billion, two hundred five million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1251 1390 1668 2085 2502 2780 4170 5004 6255 8340 12510 25020 56562967 113125934 169688901 226251868 282814835 339377802 509066703 565629670 678755604 848444505 1018133406 1131259340 1696889010 2036266812 2545333515 3393778020 5090667030 7862252413 10181334060 15724504826 23586757239 31449009652 39311262065 47173514478 70760271717 78622524130 94347028956 117933786195 141520543434 157245048260 235867572390 283041086868 353801358585 471735144780 707602717170 1415205434340