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312001140431442 = 23711412974141663
BaseRepresentation
bin100011011110000110110110…
…1001001010001101001010010
31111220201000110220221121111010
41012330031231021101221102
5311343311313422301232
63023323202321431350
7122501224054141440
oct10674155511215122
91456630426847433
10312001140431442
119045aa38a14350
122ababab279b556
13105127731603b7
145708d15a79b90
152610ceb9500cc
hex11bc36d251a52

312001140431442 has 192 divisors, whose sum is σ = 805635686080512. Its totient is φ = 78247591833600.

The previous prime is 312001140431399. The next prime is 312001140431473. The reversal of 312001140431442 is 244134041100213.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73261503 + ... + 77403165.

It is an arithmetic number, because the mean of its divisors is an integer number (4196019198336).

Almost surely, 2312001140431442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312001140431442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402817843040256).

312001140431442 is an abundant number, since it is smaller than the sum of its proper divisors (493634545649070).

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

312001140431442 is a wasteful number, since it uses less digits than its factorization.

312001140431442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141865 (or 4141824 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 312001140431442 its reverse (244134041100213), we get a palindrome (556135181531655).

The spelling of 312001140431442 in words is "three hundred twelve trillion, one billion, one hundred forty million, four hundred thirty-one thousand, four hundred forty-two".