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40149154368 = 2632739191039
BaseRepresentation
bin100101011001000100…
…110111101001000000
310211122001201100211100
4211121010313221000
51124211140414433
630235543414400
72620635116121
oct453104675100
9124561640740
1040149154368
1116033172a14
127945a54400
133a2ac4659b
141d2c316048
15109eb4ab13
hex959137a40

40149154368 has 168 divisors, whose sum is σ = 116896083200. Its totient is φ = 13172668416.

The previous prime is 40149154351. The next prime is 40149154387. The reversal of 40149154368 is 86345194104.

40149154368 is a `hidden beast` number, since 4 + 0 + 1 + 49 + 1 + 543 + 68 = 666.

It is a super-2 number, since 2×401491543682 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38641593 + ... + 38642631.

Almost surely, 240149154368 is an apocalyptic number.

40149154368 is a gapful number since it is divisible by the number (48) 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 40149154368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58448041600).

40149154368 is an abundant number, since it is smaller than the sum of its proper divisors (76746928832).

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

40149154368 is a wasteful number, since it uses less digits than its factorization.

40149154368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 40149154368 in words is "forty billion, one hundred forty-nine million, one hundred fifty-four thousand, three hundred sixty-eight".