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123243479424 = 2733132743133
BaseRepresentation
bin111001011000111100…
…0100100000110000000
3102210010001100102211000
41302301320210012000
54004400312320144
6132341155252000
711622042201432
oct1626170440600
9383101312730
10123243479424
11482a380522a
121ba75baa000
13b81116a370
145d7200c652
153314ae1769
hex1cb1e24180

123243479424 has 128 divisors (see below), whose sum is σ = 391719535200. Its totient is φ = 37921056768.

The previous prime is 123243479399. The next prime is 123243479453. The reversal of 123243479424 is 424974342321.

123243479424 is a `hidden beast` number, since 123 + 2 + 4 + 34 + 79 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1232434794242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123243479424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1326639 + ... + 1416494.

Almost surely, 2123243479424 is an apocalyptic number.

It is an amenable number.

123243479424 is an abundant number, since it is smaller than the sum of its proper divisors (268476055776).

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

123243479424 is a wasteful number, since it uses less digits than its factorization.

123243479424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743169 (or 2743151 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 123243479424 in words is "one hundred twenty-three billion, two hundred forty-three million, four hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 2743133 5486266 8229399 10972532 16458798 21945064 24688197 32917596 35660729 43890128 49376394 65835192 71321458 74064591 87780256 98752788 106982187 131670384 142642916 148129182 175560512 197505576 213964374 263340768 285285832 296258364 320946561 351121024 395011152 427928748 526681536 570571664 592516728 641893122 790022304 855857496 962839683 1053363072 1141143328 1185033456 1283786244 1580044608 1711714992 1925679366 2282286656 2370066912 2567572488 3160089216 3423429984 3851358732 4564573312 4740133824 5135144976 6846859968 7702717464 9480267648 10270289952 13693719936 15405434928 20540579904 30810869856 41081159808 61621739712 123243479424