Search a number
-
+
4004513042112 = 263311210675139
BaseRepresentation
bin111010010001011111100…
…100111100111011000000
3112011211100101202222212000
4322101133210330323000
51011102220314321422
612303351540104000
7562213365143232
oct72213744747300
915154311688760
104004513042112
11130433923aa40
12548127395000
13230815aba65b
14dbb68882252
156e2772c2cac
hex3a45f93cec0

4004513042112 has 112 divisors (see below), whose sum is σ = 12842756534400. Its totient is φ = 1213488794880.

The previous prime is 4004513042069. The next prime is 4004513042143. The reversal of 4004513042112 is 2112403154004.

4004513042112 is a `hidden beast` number, since 400 + 45 + 1 + 3 + 0 + 4 + 211 + 2 = 666.

It is a super-2 number, since 2×40045130421122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 105318562 + ... + 105356577.

Almost surely, 24004513042112 is an apocalyptic number.

It is an amenable number.

4004513042112 is an abundant number, since it is smaller than the sum of its proper divisors (8838243492288).

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

4004513042112 is a wasteful number, since it uses less digits than its factorization.

4004513042112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210675171 (or 210675155 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 4004513042112 its reverse (2112403154004), we get a palindrome (6116916196116).

The spelling of 4004513042112 in words is "four trillion, four billion, five hundred thirteen million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 210675139 421350278 632025417 842700556 1264050834 1685401112 1896076251 2317426529 2528101668 3370802224 3792152502 4634853058 5056203336 5688228753 6741604448 6952279587 7584305004 9269706116 10112406672 11376457506 13483208896 13904559174 15168610008 18539412232 20224813344 20856838761 22752915012 27809118348 30337220016 37078824464 40449626688 41713677522 45505830024 55618236696 60674440032 62570516283 74157648928 83427355044 91011660048 111236473392 121348880064 125141032566 148315297856 166854710088 182023320096 222472946784 250282065132 333709420176 364046640192 444945893568 500564130264 667418840352 1001128260528 1334837680704 2002256521056 4004513042112