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40839234944 = 271917732161
BaseRepresentation
bin100110000010001101…
…010100010110000000
310220102011020002102012
4212002031110112000
51132114321004234
630432234312052
72644014524624
oct460215242600
9126364202365
1040839234944
1116357757742
127ab8b88628
133b0abc19a1
141d95c2b184
1510e050e0ce
hex982354580

40839234944 has 64 divisors (see below), whose sum is σ = 81929076480. Its totient is φ = 20277043200.

The previous prime is 40839234911. The next prime is 40839234973. The reversal of 40839234944 is 44943293804.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×408392349442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40839234892 and 40839234901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18897224 + ... + 18899384.

It is an arithmetic number, because the mean of its divisors is an integer number (1280141820).

Almost surely, 240839234944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40839234944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40964538240).

40839234944 is an abundant number, since it is smaller than the sum of its proper divisors (41089841536).

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

40839234944 is a wasteful number, since it uses less digits than its factorization.

40839234944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 50.

The spelling of 40839234944 in words is "forty billion, eight hundred thirty-nine million, two hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 191 382 764 773 1528 1546 2161 3056 3092 4322 6112 6184 8644 12224 12368 17288 24448 24736 34576 49472 69152 98944 138304 147643 276608 295286 412751 590572 825502 1181144 1651004 1670453 2362288 3302008 3340906 4724576 6604016 6681812 9449152 13208032 13363624 18898304 26416064 26727248 52832128 53454496 106908992 213817984 319056523 638113046 1276226092 2552452184 5104904368 10209808736 20419617472 40839234944