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240140204442 = 2352327777557
BaseRepresentation
bin1101111110100101111…
…0001011100110011010
3211221211210011100100000
43133221132023212122
512413301343020232
6302152513553430
723230620026055
oct3375136134632
9757753140300
10240140204442
119292a980986
123a65a575876
1319850450b38
14b8a1147a9c
1563a740327c
hex37e978b99a

240140204442 has 96 divisors (see below), whose sum is σ = 565073937792. Its totient is φ = 76289045184.

The previous prime is 240140204411. The next prime is 240140204461. The reversal of 240140204442 is 244402041042.

240140204442 is a `hidden beast` number, since 2 + 4 + 0 + 14 + 0 + 204 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3057528 + ... + 3135084.

It is an arithmetic number, because the mean of its divisors is an integer number (5886186852).

Almost surely, 2240140204442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240140204442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282536968896).

240140204442 is an abundant number, since it is smaller than the sum of its proper divisors (324933733350).

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

240140204442 is a wasteful number, since it uses less digits than its factorization.

240140204442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77874 (or 77862 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 240140204442 its reverse (244402041042), we get a palindrome (484542245484).

The spelling of 240140204442 in words is "two hundred forty billion, one hundred forty million, two hundred four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 277 414 486 554 621 831 1242 1662 1863 2493 3726 4986 5589 6371 7479 11178 12742 14958 19113 22437 38226 44874 57339 67311 77557 114678 134622 155114 172017 232671 344034 465342 516051 698013 1032102 1396026 1548153 1783811 2094039 3096306 3567622 4188078 5351433 6282117 10702866 12564234 16054299 18846351 21483289 32108598 37692702 42966578 48162897 64449867 96325794 128899734 144488691 193349601 288977382 386699202 433466073 494115647 580048803 866932146 988231294 1160097606 1482346941 1740146409 2964693882 3480292818 4447040823 5220439227 8894081646 10440878454 13341122469 26682244938 40023367407 80046734814 120070102221 240140204442