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40827138920 = 2358319762423
BaseRepresentation
bin100110000001011111…
…001011001101101000
310220101022110112210022
4212001133023031220
51132103221421140
630431123140012
72643506645351
oct460137131550
9126338415708
1040827138920
1116350945827
127ab4b14608
133b08548089
141d9439cd28
1510de4200b5
hex9817cb368

40827138920 has 64 divisors (see below), whose sum is σ = 93441237120. Its totient is φ = 16051942144.

The previous prime is 40827138893. The next prime is 40827138923. The reversal of 40827138920 is 2983172804.

It is not an unprimeable number, because it can be changed into a prime (40827138923) by changing a digit.

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, 622829 + ... + 685251.

It is an arithmetic number, because the mean of its divisors is an integer number (1460019330).

Almost surely, 240827138920 is an apocalyptic number.

40827138920 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 40827138920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46720618560).

40827138920 is an abundant number, since it is smaller than the sum of its proper divisors (52614098200).

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

40827138920 is a wasteful number, since it uses less digits than its factorization.

40827138920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62714 (or 62710 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 40827138920 in words is "forty billion, eight hundred twenty-seven million, one hundred thirty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 197 332 394 415 664 788 830 985 1576 1660 1970 3320 3940 7880 16351 32702 62423 65404 81755 124846 130808 163510 249692 312115 327020 499384 624230 654040 1248460 2496920 5181109 10362218 12297331 20724436 24594662 25905545 41448872 49189324 51811090 61486655 98378648 103622180 122973310 207244360 245946620 491893240 1020678473 2041356946 4082713892 5103392365 8165427784 10206784730 20413569460 40827138920