Search a number
-
+
2736114234540 = 223545601903909
BaseRepresentation
bin100111110100001101000…
…111011111010010101100
3100200120101111122110002020
4213310031013133102230
5324312030221001130
65452541543430140
7401451314155101
oct47641507372254
910616344573066
102736114234540
1196541a178405
1238233b155350
1316b025a1aa5b
1496600266aa8
154b28c85de10
hex27d0d1df4ac

2736114234540 has 24 divisors (see below), whose sum is σ = 7661119856880. Its totient is φ = 729630462528.

The previous prime is 2736114234527. The next prime is 2736114234547. The reversal of 2736114234540 is 454324116372.

It is a super-2 number, since 2×27361142345402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2736114234492 and 2736114234501.

It is not an unprimeable number, because it can be changed into a prime (2736114234547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22800951895 + ... + 22800952014.

It is an arithmetic number, because the mean of its divisors is an integer number (319213327370).

Almost surely, 22736114234540 is an apocalyptic number.

2736114234540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2736114234540 is an abundant number, since it is smaller than the sum of its proper divisors (4925005622340).

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

2736114234540 is a wasteful number, since it uses less digits than its factorization.

2736114234540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45601903921 (or 45601903919 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 2736114234540 in words is "two trillion, seven hundred thirty-six billion, one hundred fourteen million, two hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 45601903909 91203807818 136805711727 182407615636 228009519545 273611423454 456019039090 547222846908 684028558635 912038078180 1368057117270 2736114234540