Search a number
-
+
240968174454 = 2357231812
BaseRepresentation
bin1110000001101011010…
…0101000101101110110
3212000222111010120200000
43200122310220231312
512422000323040304
6302411012132130
723260262454600
oct3403264505566
9760874116600
10240968174454
1193215286017
123a84b907046
1319952b47a17
14b93d0b4170
156404e52939
hex381ad28b76

240968174454 has 108 divisors (see below), whose sum is σ = 630030220092. Its totient is φ = 68826406320.

The previous prime is 240968174441. The next prime is 240968174477. The reversal of 240968174454 is 454471869042.

240968174454 is a `hidden beast` number, since 2 + 40 + 9 + 6 + 81 + 74 + 454 = 666.

240968174454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2409681744542 (a number of 24 digits) contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 240968174454.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 75750744 + ... + 75753924.

It is an arithmetic number, because the mean of its divisors is an integer number (5833613149).

Almost surely, 2240968174454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240968174454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315015110046).

240968174454 is an abundant number, since it is smaller than the sum of its proper divisors (389062045638).

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

240968174454 is an frugal number, since it uses more digits than its factorization.

240968174454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6393 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

Multiplying 240968174454 by its sum of digits (54), we get a square (13012281420516 = 36072542).

240968174454 divided by its sum of digits (54) gives a square (4462373601 = 668012).

The spelling of 240968174454 in words is "two hundred forty billion, nine hundred sixty-eight million, one hundred seventy-four thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 882 1134 1323 1701 2646 3181 3402 3969 6362 7938 9543 11907 19086 22267 23814 28629 44534 57258 66801 85887 133602 155869 171774 200403 257661 311738 400806 467607 515322 601209 772983 935214 1202418 1402821 1545966 1803627 2805642 3607254 4208463 5410881 8416926 10118761 10821762 12625389 20237522 25250778 30356283 37876167 60712566 70831327 75752334 91068849 141662654 182137698 212493981 273206547 424987962 495819289 546413094 637481943 819619641 991638578 1274963886 1487457867 1639239282 1912445829 2458858923 2974915734 3824891658 4462373601 4917717846 5737337487 8924747202 11474674974 13387120803 17212012461 26774241606 34424024922 40161362409 80322724818 120484087227 240968174454