Search a number
-
+
540260093113740 = 2232511351264421193
BaseRepresentation
bin111101011010111010001101…
…0111011111011010110001100
32121211220100201210120211000200
41322311310122323323112030
51031303110132314114430
65153012021020053500
7221540334515144646
oct17265643273732614
92554810653524020
10540260093113740
111471640230138aa
1250716038094290
131a25c4010a9a8c
14975aa299c7896
15426d611586460
hex1eb5d1aefb58c

540260093113740 has 72 divisors (see below), whose sum is σ = 1638933329281248. Its totient is φ = 144056665401600.

The previous prime is 540260093113723. The next prime is 540260093113799. The reversal of 540260093113740 is 47311390062045.

540260093113740 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 600 + 9 + 3 + 1 + 1 + 37 + 4 + 0 = 666.

It is a super-2 number, since 2×5402600931137402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130167417 + ... + 134253776.

It is an arithmetic number, because the mean of its divisors is an integer number (22762962906684).

Almost surely, 2540260093113740 is an apocalyptic number.

It is an amenable number.

540260093113740 is an abundant number, since it is smaller than the sum of its proper divisors (1098673236167508).

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

540260093113740 is a wasteful number, since it uses less digits than its factorization.

540260093113740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264432559 (or 264432554 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 540260093113740 in words is "five hundred forty trillion, two hundred sixty billion, ninety-three million, one hundred thirteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11351 22702 34053 45404 56755 68106 102159 113510 136212 170265 204318 227020 340530 408636 510795 681060 1021590 2043180 264421193 528842386 793263579 1057684772 1322105965 1586527158 2379790737 2644211930 3173054316 3966317895 4759581474 5288423860 7932635790 9519162948 11898953685 15865271580 23797907370 47595814740 3001444961743 6002889923486 9004334885229 12005779846972 15007224808715 18008669770458 27013004655687 30014449617430 36017339540916 45021674426145 54026009311374 60028899234860 90043348852290 108052018622748 135065023278435 180086697704580 270130046556870 540260093113740