Search a number
-
+
122140334431224 = 23323189614858113
BaseRepresentation
bin11011110001011000000011…
…001111110001101111111000
3121000110111112220121122001100
4123301120003033301233320
5112002121401103244344
61111434254531451400
734504230230523534
oct3361300317615770
9530414486548040
10122140334431224
1135a1047465a27a
1211847746a56b60
13531ca26917a15
1422238a3724bc4
15e1c23c8b5569
hex6f16033f1bf8

122140334431224 has 96 divisors (see below), whose sum is σ = 345304316822400. Its totient is φ = 38957409976320.

The previous prime is 122140334431183. The next prime is 122140334431261. The reversal of 122140334431224 is 422134433041221.

122140334431224 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 4 + 0 + 334 + 4 + 312 + 2 + 4 = 666.

It is a super-3 number, since 3×1221403344312243 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307230409 + ... + 307627704.

It is an arithmetic number, because the mean of its divisors is an integer number (3596919966900).

Almost surely, 2122140334431224 is an apocalyptic number.

It is an amenable number.

122140334431224 is an abundant number, since it is smaller than the sum of its proper divisors (223163982391176).

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

122140334431224 is a wasteful number, since it uses less digits than its factorization.

122140334431224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614858245 (or 614858238 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 122140334431224 its reverse (422134433041221), we get a palindrome (544274767472445).

The spelling of 122140334431224 in words is "one hundred twenty-two trillion, one hundred forty billion, three hundred thirty-four million, four hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 89 93 124 178 186 248 267 279 356 372 534 558 712 744 801 1068 1116 1602 2136 2232 2759 3204 5518 6408 8277 11036 16554 22072 24831 33108 49662 66216 99324 198648 614858113 1229716226 1844574339 2459432452 3689148678 4918864904 5533723017 7378297356 11067446034 14756594712 19060601503 22134892068 38121203006 44269784136 54722372057 57181804509 76242406012 109444744114 114363609018 152484812024 164167116171 171545413527 218889488228 228727218036 328334232342 343090827054 437778976456 457454436072 492501348513 656668464684 686181654108 985002697026 1313336929368 1372363308216 1696393533767 1970005394052 3392787067534 3940010788104 5089180601301 6785574135068 10178361202602 13571148270136 15267541803903 20356722405204 30535083607806 40713444810408 61070167215612 122140334431224