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2024014314340 = 2251393631200513
BaseRepresentation
bin11101011101000000101…
…001110111101101100100
321011111100001000102020201
4131131000221313231210
5231130140131024330
64145452551040244
7266141650544224
oct35350051675544
97144301012221
102024014314340
1171041a350667
12288326370084
13118b2c802c25
146dd69d74084
15379b1399eca
hex1d740a77b64

2024014314340 has 48 divisors (see below), whose sum is σ = 4282209066240. Its totient is φ = 803555850240.

The previous prime is 2024014314293. The next prime is 2024014314347. The reversal of 2024014314340 is 434134104202.

It is a junction number, because it is equal to n+sod(n) for n = 2024014314299 and 2024014314308.

It is not an unprimeable number, because it can be changed into a prime (2024014314347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9993924 + ... + 10194436.

It is an arithmetic number, because the mean of its divisors is an integer number (89212688880).

Almost surely, 22024014314340 is an apocalyptic number.

2024014314340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024014314340 is an abundant number, since it is smaller than the sum of its proper divisors (2258194751900).

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

2024014314340 is a wasteful number, since it uses less digits than its factorization.

2024014314340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204292 (or 204290 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2024014314340 its reverse (434134104202), we get a palindrome (2458148418542).

The spelling of 2024014314340 in words is "two trillion, twenty-four billion, fourteen million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 139 278 556 695 1390 2780 3631 7262 14524 18155 36310 72620 200513 401026 504709 802052 1002565 1009418 2005130 2018836 2523545 4010260 5047090 10094180 27871307 55742614 111485228 139356535 278713070 557426140 728062703 1456125406 2912250812 3640313515 7280627030 14561254060 101200715717 202401431434 404802862868 506003578585 1012007157170 2024014314340