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240345543042 = 2321121011636703
BaseRepresentation
bin1101111111010110110…
…1011111000110000010
3211222101002112121221100
43133311231133012002
512414211424334132
6302225131035230
723235662256633
oct3376555370602
9758332477840
10240345543042
1192a2587a900
123a6b729bb16
1319883b57077
14b8c051988a
1563ba46437c
hex37f5b5f182

240345543042 has 144 divisors (see below), whose sum is σ = 581693583744. Its totient is φ = 71657784000.

The previous prime is 240345543017. The next prime is 240345543043.

240345543042 is a `hidden beast` number, since 2 + 4 + 0 + 34 + 554 + 30 + 42 = 666.

240345543042 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2403455430422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240345542988 and 240345543006.

It is not an unprimeable number, because it can be changed into a prime (240345543043) 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 71 ways as a sum of consecutive naturals, for example, 35853063 + ... + 35859765.

It is an arithmetic number, because the mean of its divisors is an integer number (4039538776).

Almost surely, 2240345543042 is an apocalyptic number.

240345543042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 240345543042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290846791872).

240345543042 is an abundant number, since it is smaller than the sum of its proper divisors (341348040702).

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

240345543042 is a wasteful number, since it uses less digits than its factorization.

240345543042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997 (or 6983 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 240345 and 543042, that added together give a palindrome (783387).

The spelling of 240345543042 in words is "two hundred forty billion, three hundred forty-five million, five hundred forty-three thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 121 163 198 202 242 303 326 363 489 606 726 909 978 1089 1111 1467 1793 1818 2178 2222 2934 3333 3586 5379 6666 6703 9999 10758 12221 13406 16137 16463 19723 19998 20109 24442 32274 32926 36663 39446 40218 49389 59169 60327 73326 73733 98778 109989 118338 120654 147466 148167 177507 181093 219978 221199 296334 355014 362186 442398 543279 663597 677003 811063 1086558 1092589 1327194 1354006 1622126 1629837 1992023 2031009 2185178 2433189 3259674 3277767 3984046 4062018 4866378 5976069 6093027 6555534 7299567 7447033 9833301 11952138 12018479 12186054 14599134 14894066 17928207 19666602 22341099 24036958 35856414 36055437 44682198 67023297 72110874 81917363 108166311 110351489 132203269 134046594 163834726 216332622 220702978 245752089 264406538 331054467 396609807 491504178 662108934 737256267 793219614 993163401 1189829421 1213866379 1474512534 1986326802 2379658842 2427732758 3641599137 7283198274 10924797411 13352530169 21849594822 26705060338 40057590507 80115181014 120172771521 240345543042