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231320400041340 = 223253734732792799
BaseRepresentation
bin110100100110001001111010…
…010001100001010101111100
31010100001000101101221202002100
4310212021322101201111330
5220304423134402310330
62135551042540025100
766503230104125541
oct6446117221412574
91110030341852070
10231320400041340
1167784481349595
1221b3b539b32190
139c0c56002752c
144119d77a16bc8
151bb2293bca060
hexd2627a46157c

231320400041340 has 72 divisors (see below), whose sum is σ = 720635985014400. Its totient is φ = 60018265954944.

The previous prime is 231320400041221. The next prime is 231320400041351. The reversal of 231320400041340 is 43140004023132.

231320400041340 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 204 + 0 + 0 + 0 + 413 + 40 = 666.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 17366389740 + ... + 17366403059.

It is an arithmetic number, because the mean of its divisors is an integer number (10008833125200).

Almost surely, 2231320400041340 is an apocalyptic number.

231320400041340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231320400041340 is an abundant number, since it is smaller than the sum of its proper divisors (489315584973060).

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

231320400041340 is a wasteful number, since it uses less digits than its factorization.

231320400041340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34732792851 (or 34732792846 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 231320400041340 its reverse (43140004023132), we get a palindrome (274460404064472).

The spelling of 231320400041340 in words is "two hundred thirty-one trillion, three hundred twenty billion, four hundred million, forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 34732792799 69465585598 104198378397 138931171196 173663963995 208396756794 312595135191 347327927990 416793513588 520991891985 625190270382 694655855980 1041983783970 1250380540764 1285113333563 1562975675955 2083967567940 2570226667126 3125951351910 3855340000689 5140453334252 6251902703820 6425566667815 7710680001378 11566020002067 12851133335630 15421360002756 19276700003445 23132040004134 25702266671260 38553400006890 46264080008268 57830100010335 77106800013780 115660200020670 231320400041340