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40227745148388 = 2232719231133232699
BaseRepresentation
bin10010010010110010000000…
…11101011010110111100100
312021102201211201121021021100
421021121000131122313210
520233042410224222023
6221320212045120100
711321234011625130
oct1111310035326744
9167381751537240
1040227745148388
11118aa544445976
1246184a6559030
13195a5c9a838b5
149d106736a3c0
1549b638d65c43
hex24964075ade4

40227745148388 has 288 divisors, whose sum is σ = 128778354432000. Its totient is φ = 10323116762112.

The previous prime is 40227745148347. The next prime is 40227745148417. The reversal of 40227745148388 is 88384154772204.

40227745148388 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 7 + 74 + 5 + 1 + 483 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10827663 + ... + 14060361.

It is an arithmetic number, because the mean of its divisors is an integer number (447147064000).

Almost surely, 240227745148388 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 40227745148388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64389177216000).

40227745148388 is an abundant number, since it is smaller than the sum of its proper divisors (88550609283612).

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

40227745148388 is a wasteful number, since it uses less digits than its factorization.

40227745148388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232871 (or 3232866 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 40227745148388 in words is "forty trillion, two hundred twenty-seven billion, seven hundred forty-five million, one hundred forty-eight thousand, three hundred eighty-eight".