Search a number
-
+
240553204003552 = 251129160611467229
BaseRepresentation
bin110110101100100000101000…
…010001100011001011100000
31011112201122212101111012100111
4312230200220101203023200
5223012210430211103202
62211340341043301104
7101445252433666666
oct6654405021431340
91145648771435314
10240553204003552
116a71404a4a6190
1222b909a537a794
13a42c0ba484ccb
144358ba13a0c36
151cc251a6c36d7
hexdac8284632e0

240553204003552 has 96 divisors (see below), whose sum is σ = 534491582536800. Its totient is φ = 105565293926400.

The previous prime is 240553204003547. The next prime is 240553204003561. The reversal of 240553204003552 is 255300402355042.

It is a super-2 number, since 2×2405532040035522 (a number of 30 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 163217074 + ... + 164684302.

It is an arithmetic number, because the mean of its divisors is an integer number (5567620651425).

Almost surely, 2240553204003552 is an apocalyptic number.

240553204003552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240553204003552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267245791268400).

240553204003552 is an abundant number, since it is smaller than the sum of its proper divisors (293938378533248).

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

240553204003552 is a wasteful number, since it uses less digits than its factorization.

240553204003552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483340 (or 1483332 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 40.

Adding to 240553204003552 its reverse (255300402355042), we get a palindrome (495853606358594).

The spelling of 240553204003552 in words is "two hundred forty trillion, five hundred fifty-three billion, two hundred four million, three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2552 5104 10208 16061 32122 64244 128488 176671 256976 353342 465769 513952 706684 931538 1413368 1467229 1863076 2826736 2934458 3726152 5123459 5653472 5868916 7452304 10246918 11737832 14904608 16139519 20493836 23475664 32279038 40987672 42549641 46951328 64558076 81975344 85099282 129116152 163950688 170198564 258232304 340397128 468046051 516464608 680794256 936092102 1361588512 1872184204 3744368408 7488736816 14977473632 23565164969 47130329938 94260659876 188521319752 259216814659 377042639504 518433629318 683389784101 754085279008 1036867258636 1366779568202 2073734517272 2733559136404 4147469034544 5467118272808 7517287625111 8294938069088 10934236545616 15034575250222 21868473091232 30069150500444 60138301000888 120276602001776 240553204003552