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32131043440 = 245738961819
BaseRepresentation
bin11101111011001010…
…001101000001110000
310001221021020010101221
4131323022031001300
51011301021342230
622432155434424
72215144235326
oct357312150160
9101837203357
1032131043440
1112699155561
126288755a14
133050a31b52
1417ab495d16
15c80c7427a
hex77b28d070

32131043440 has 80 divisors (see below), whose sum is σ = 76580143200. Its totient is φ = 12533723136.

The previous prime is 32131043407. The next prime is 32131043473. The reversal of 32131043440 is 4434013123.

It is an interprime number because it is at equal distance from previous prime (32131043407) and next prime (32131043473).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488851 + ... + 550669.

It is an arithmetic number, because the mean of its divisors is an integer number (957251790).

Almost surely, 232131043440 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 32131043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38290071600).

32131043440 is an abundant number, since it is smaller than the sum of its proper divisors (44449099760).

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

32131043440 is a wasteful number, since it uses less digits than its factorization.

32131043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61994 (or 61988 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 32131043440 its reverse (4434013123), we get a palindrome (36565056563).

The spelling of 32131043440 in words is "thirty-two billion, one hundred thirty-one million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 89 146 178 292 356 365 445 584 712 730 890 1168 1424 1460 1780 2920 3560 5840 6497 7120 12994 25988 32485 51976 61819 64970 103952 123638 129940 247276 259880 309095 494552 519760 618190 989104 1236380 2472760 4512787 4945520 5501891 9025574 11003782 18051148 22007564 22563935 27509455 36102296 44015128 45127870 55018910 72204592 88030256 90255740 110037820 180511480 220075640 361022960 401638043 440151280 803276086 1606552172 2008190215 3213104344 4016380430 6426208688 8032760860 16065521720 32131043440