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40231214132000 = 2553197321412381
BaseRepresentation
bin10010010010111000011110…
…01110100010101100100000
312021110001210111002220011212
421021130033032202230200
520233122011304211000
6221321544205325252
711321415663534023
oct1111341716425440
9167401714086155
1040231214132000
1111900a64608681
1246190b4266828
13195aa30680718
149d12b5d731ba
1549b78d697c35
hex24970f3a2b20

40231214132000 has 192 divisors, whose sum is σ = 98985941859168. Its totient is φ = 16070064640000.

The previous prime is 40231214131987. The next prime is 40231214132077. The reversal of 40231214132000 is 23141213204.

It can be written as a sum of positive squares in 16 ways, for example, as 7871817816976 + 32359396315024 = 2805676^2 + 5688532^2 .

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, 16896770810 + ... + 16896773190.

Almost surely, 240231214132000 is an apocalyptic number.

40231214132000 is a gapful number since it is divisible by the number (40) 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 40231214132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49492970929584).

40231214132000 is an abundant number, since it is smaller than the sum of its proper divisors (58754727727168).

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

40231214132000 is a wasteful number, since it uses less digits than its factorization.

40231214132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6520 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 40231214132000 its reverse (23141213204), we get a palindrome (40254355345204).

The spelling of 40231214132000 in words is "forty trillion, two hundred thirty-one billion, two hundred fourteen million, one hundred thirty-two thousand".