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40221344121012 = 22321367817307651
BaseRepresentation
bin10010010010100110000101…
…11011011100000010110100
312021102010022121221101110100
421021103002323130002310
520232441303043333022
6221313232544554100
711320616255035545
oct1111230273340264
9167363277841410
1040221344121012
11118a785a2082aa
1246171ba922930
131959b198a6a32
149d0a1b1aa4cc
1549b3b1e151ac
hex2494c2edc0b4

40221344121012 has 36 divisors (see below), whose sum is σ = 101744994982176. Its totient is φ = 13397306998800.

The previous prime is 40221344121001. The next prime is 40221344121017. The reversal of 40221344121012 is 21012144312204.

40221344121012 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 1 + 3 + 441 + 210 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40221344121017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 408604614 + ... + 408703037.

It is an arithmetic number, because the mean of its divisors is an integer number (2826249860616).

Almost surely, 240221344121012 is an apocalyptic number.

It is an amenable number.

40221344121012 is an abundant number, since it is smaller than the sum of its proper divisors (61523650861164).

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

40221344121012 is a wasteful number, since it uses less digits than its factorization.

40221344121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817309028 (or 817309023 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 40221344121012 its reverse (21012144312204), we get a palindrome (61233488433216).

The spelling of 40221344121012 in words is "forty trillion, two hundred twenty-one billion, three hundred forty-four million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1367 2734 4101 5468 8202 12303 16404 24606 49212 817307651 1634615302 2451922953 3269230604 4903845906 7355768859 9807691812 14711537718 29423075436 1117259558917 2234519117834 3351778676751 4469038235668 6703557353502 10055336030253 13407114707004 20110672060506 40221344121012