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40130405105148 = 22328291344672467
BaseRepresentation
bin10010001111111100101101…
…00010100111110111111100
312021002102120221010201201200
421013332112202213313330
520224444032201331043
6221203353102135500
711311216564124451
oct1107762642476774
9167072527121650
1040130405105148
1111872233536746
12460165b581590
13195138637a487
149ca4716b7828
15498d3d4017d3
hex247f968a7dfc

40130405105148 has 36 divisors (see below), whose sum is σ = 101563111508040. Its totient is φ = 13360665622176.

The previous prime is 40130405105113. The next prime is 40130405105201. The reversal of 40130405105148 is 84150150403104.

40130405105148 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 0 + 405 + 105 + 148 = 666.

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

It is a super-3 number, since 3×401304051051483 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 672306390 + ... + 672366077.

It is an arithmetic number, because the mean of its divisors is an integer number (2821197541890).

Almost surely, 240130405105148 is an apocalyptic number.

It is an amenable number.

40130405105148 is an abundant number, since it is smaller than the sum of its proper divisors (61432706402892).

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

40130405105148 is a wasteful number, since it uses less digits than its factorization.

40130405105148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344673306 (or 1344673301 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 40130405105148 in words is "forty trillion, one hundred thirty billion, four hundred five million, one hundred five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 829 1658 2487 3316 4974 7461 9948 14922 29844 1344672467 2689344934 4034017401 5378689868 8068034802 12102052203 16136069604 24204104406 48408208812 1114733475143 2229466950286 3344200425429 4458933900572 6688400850858 10032601276287 13376801701716 20065202552574 40130405105148