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40148036544 = 26371112721383
BaseRepresentation
bin100101011001000000…
…100110101111000000
310211121222121120110110
4211121000212233000
51124210344132134
630235503431320
72620622452140
oct453100465700
9124558546413
1040148036544
111603257a0a0
1279455b5540
133a2a944855
141d2c104920
15109e9c97e9
hex959026bc0

40148036544 has 224 divisors, whose sum is σ = 133485428736. Its totient is φ = 10345466880.

The previous prime is 40148036531. The next prime is 40148036569. The reversal of 40148036544 is 44563084104.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×401480365442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866877 + ... + 1888259.

Almost surely, 240148036544 is an apocalyptic number.

40148036544 is a gapful number since it is divisible by the number (44) 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 40148036544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66742714368).

40148036544 is an abundant number, since it is smaller than the sum of its proper divisors (93337392192).

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

40148036544 is a wasteful number, since it uses less digits than its factorization.

40148036544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21543 (or 21533 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 40148036544 in words is "forty billion, one hundred forty-eight million, thirty-six thousand, five hundred forty-four".