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40643006750136 = 23327293967700963
BaseRepresentation
bin10010011110110111011111…
…11110101101110110111000
312022220102201000120100002100
421033123233332231312320
520311343334212001021
6222235050050303400
711363234411200650
oct1117335776556670
9168812630510070
1040643006750136
1111a4a66982757a
124684a78887b60
13198a8081b32cb
14a071bc3ad360
154a73404ea626
hex24f6effaddb8

40643006750136 has 192 divisors, whose sum is σ = 130170697113600. Its totient is φ = 11209021657344.

The previous prime is 40643006750123. The next prime is 40643006750141. The reversal of 40643006750136 is 63105760034604.

40643006750136 is a `hidden beast` number, since 40 + 6 + 43 + 0 + 0 + 67 + 501 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40643006750091 and 40643006750100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57631191 + ... + 58332153.

It is an arithmetic number, because the mean of its divisors is an integer number (677972380800).

Almost surely, 240643006750136 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 40643006750136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65085348556800).

40643006750136 is an abundant number, since it is smaller than the sum of its proper divisors (89527690363464).

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

40643006750136 is a wasteful number, since it uses less digits than its factorization.

40643006750136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704978 (or 704971 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 40643006750136 in words is "forty trillion, six hundred forty-three billion, six million, seven hundred fifty thousand, one hundred thirty-six".