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312001140400002 = 232671973131123879
BaseRepresentation
bin100011011110000110110110…
…1001001001001111110000010
31111220201000110220220000100200
41012330031231021021332002
5311343311313420300002
63023323202321030030
7122501224053650664
oct10674155511117602
91456630426800320
10312001140400002
119045aa389a2769
122ababab2785316
131051277314bcb1
145708d15a6c534
152610ceb945b1c
hex11bc36d249f82

312001140400002 has 48 divisors (see below), whose sum is σ = 686439805746240. Its totient is φ = 102396209816736.

The previous prime is 312001140399941. The next prime is 312001140400009. The reversal of 312001140400002 is 200004041100213.

312001140400002 is a `hidden beast` number, since 3 + 120 + 0 + 1 + 140 + 400 + 0 + 0 + 2 = 666.

It is a super-2 number, since 2×3120011404000022 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (312001140400009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63182502 + ... + 67941377.

It is an arithmetic number, because the mean of its divisors is an integer number (14300829286380).

Almost surely, 2312001140400002 is an apocalyptic number.

312001140400002 is an abundant number, since it is smaller than the sum of its proper divisors (374438665346238).

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

312001140400002 is a wasteful number, since it uses less digits than its factorization.

312001140400002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131125927 (or 131125924 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 312001140400002 its reverse (200004041100213), we get a palindrome (512005181500215).

The spelling of 312001140400002 in words is "three hundred twelve trillion, one billion, one hundred forty million, four hundred thousand, two".

Divisors: 1 2 3 6 9 18 67 134 201 402 603 1206 1973 3946 5919 11838 17757 35514 132191 264382 396573 793146 1189719 2379438 131123879 262247758 393371637 786743274 1180114911 2360229822 8785299893 17570599786 26355899679 52711799358 79067699037 158135398074 258707413267 517414826534 776122239801 1552244479602 2328366719403 4656733438806 17333396688889 34666793377778 52000190066667 104000380133334 156000570200001 312001140400002