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312423201012432 = 24335922643800707
BaseRepresentation
bin100011100001001011011000…
…1111010100111101011010000
31111222012100220001101121110010
41013002112301322213223100
5311422220203424344212
63024245123120434520
7122543555111655216
oct10702266172475320
91458170801347403
10312423201012432
1190602a3212a764
122b059861a78a40
13105434c6041c53
145721513a6ccb6
15261bc9ee4203c
hex11c25b1ea7ad0

312423201012432 has 80 divisors (see below), whose sum is σ = 809378194337280. Its totient is φ = 103846264323456.

The previous prime is 312423201012301. The next prime is 312423201012437. The reversal of 312423201012432 is 234210102324213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 312423201012432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312423201012437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389783823 + ... + 390584529.

It is an arithmetic number, because the mean of its divisors is an integer number (10117227429216).

Almost surely, 2312423201012432 is an apocalyptic number.

It is an amenable number.

312423201012432 is an abundant number, since it is smaller than the sum of its proper divisors (496954993324848).

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

312423201012432 is a wasteful number, since it uses less digits than its factorization.

312423201012432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823720 (or 823714 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 312423201012432 its reverse (234210102324213), we get a palindrome (546633303336645).

The spelling of 312423201012432 in words is "three hundred twelve trillion, four hundred twenty-three billion, two hundred one million, twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 359 718 1077 1436 2154 2872 4308 5744 8616 17232 22643 45286 67929 90572 135858 181144 271716 362288 543432 800707 1086864 1601414 2402121 3202828 4804242 6405656 8128837 9608484 12811312 16257674 19216968 24386511 32515348 38433936 48773022 65030696 97546044 130061392 195092088 287453813 390184176 574907626 862361439 1149815252 1724722878 2299630504 3449445756 4599261008 6898891512 13797783024 18130408601 36260817202 54391225803 72521634404 108782451606 145043268808 217564903212 290086537616 435129806424 870259612848 6508816687759 13017633375518 19526450063277 26035266751036 39052900126554 52070533502072 78105800253108 104141067004144 156211600506216 312423201012432