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40322344240 = 245731492311
BaseRepresentation
bin100101100011011001…
…100010010100110000
310212002010121022200001
4211203121202110300
51130040010003430
630305051435344
72625140161633
oct454331422460
9125063538601
1040322344240
1116111a04042
127993a55b54
133a57aa47b9
141d47319c1a
1510aee5b3ca
hex963662530

40322344240 has 120 divisors (see below), whose sum is σ = 95983419168. Its totient is φ = 15750420480.

The previous prime is 40322344189. The next prime is 40322344243. The reversal of 40322344240 is 4244322304.

It is a happy number.

It is a super-2 number, since 2×403223442402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40322344199 and 40322344208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40322344243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129653685 + ... + 129653995.

Almost surely, 240322344240 is an apocalyptic number.

40322344240 is a gapful number since it is divisible by the number (40) 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 40322344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47991709584).

40322344240 is an abundant number, since it is smaller than the sum of its proper divisors (55661074928).

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

40322344240 is a wasteful number, since it uses less digits than its factorization.

40322344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 40322344240 its reverse (4244322304), we get a palindrome (44566666544).

The spelling of 40322344240 in words is "forty billion, three hundred twenty-two million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 149 292 298 311 365 584 596 622 730 745 1168 1192 1244 1460 1490 1555 2384 2488 2920 2980 3110 4976 5840 5960 6220 10877 11920 12440 21754 22201 22703 24880 43508 44402 45406 46339 54385 87016 88804 90812 92678 108770 111005 113515 174032 177608 181624 185356 217540 222010 227030 231695 355216 363248 370712 435080 444020 454060 463390 741424 870160 888040 908120 926780 1620673 1776080 1816240 1853560 3241346 3382747 3707120 6482692 6765494 6904511 8103365 12965384 13530988 13809022 16206730 16913735 25930768 27061976 27618044 32413460 33827470 34522555 54123952 55236088 64826920 67654940 69045110 110472176 129653840 135309880 138090220 270619760 276180440 504029303 552360880 1008058606 2016117212 2520146515 4032234424 5040293030 8064468848 10080586060 20161172120 40322344240