Search a number
-
+
5740254259740 = 223457111329373299
BaseRepresentation
bin101001110001000000111…
…0100001110101000011100
3202022202121012002210110000
41103202001310032220130
51223022020042302430
620113011510214300
71131501565102410
oct123420164165034
922282535083400
105740254259740
111913478977310
127885bb654390
133283c4187cc0
1415bb88d22d40
159e4b5786e60
hex53881d0ea1c

5740254259740 has 1920 divisors, whose sum is σ = 25695242496000. Its totient is φ = 1034016399360.

The previous prime is 5740254259723. The next prime is 5740254259741. The reversal of 5740254259740 is 479524520475.

It is a happy number.

5740254259740 is a `hidden beast` number, since 5 + 7 + 4 + 0 + 2 + 5 + 4 + 2 + 597 + 40 = 666.

It is a super-3 number, since 3×57402542597403 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5740254259741) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1739996611 + ... + 1739999909.

It is an arithmetic number, because the mean of its divisors is an integer number (13382938800).

Almost surely, 25740254259740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5740254259740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12847621248000).

5740254259740 is an abundant number, since it is smaller than the sum of its proper divisors (19954988236260).

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

5740254259740 is a wasteful number, since it uses less digits than its factorization.

5740254259740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 5740254259740 in words is "five trillion, seven hundred forty billion, two hundred fifty-four million, two hundred fifty-nine thousand, seven hundred forty".