Search a number
-
+
215102540371104 = 25323753380868853
BaseRepresentation
bin110000111010001001110110…
…100000100101010010100000
31001012121121020212210000002100
4300322021312200211102200
5211143220000313333404
62041252424243050400
763210434321343441
oct6072116640452240
91035547225700070
10215102540371104
11625a1525367381
1220160391670a00
13930410c3b3c59
143b19038ab92c8
1519d049d990d39
hexc3a2768254a0

215102540371104 has 144 divisors (see below), whose sum is σ = 640083625606152. Its totient is φ = 68446703130624.

The previous prime is 215102540370973. The next prime is 215102540371123. The reversal of 215102540371104 is 401173045201512.

215102540371104 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 0 + 2 + 540 + 3 + 7 + 1 + 104 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201107908287504 + 13994632083600 = 14181252^2 + 3740940^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2151025403711042 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189869659 + ... + 190999194.

Almost surely, 2215102540371104 is an apocalyptic number.

215102540371104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

215102540371104 is an abundant number, since it is smaller than the sum of its proper divisors (424981085235048).

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

215102540371104 is a wasteful number, since it uses less digits than its factorization.

215102540371104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380868959 (or 380868948 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 215102540371104 its reverse (401173045201512), we get a palindrome (616275585572616).

The spelling of 215102540371104 in words is "two hundred fifteen trillion, one hundred two billion, five hundred forty million, three hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 53 72 74 96 106 111 144 148 159 212 222 288 296 318 333 424 444 477 592 636 666 848 888 954 1184 1272 1332 1696 1776 1908 1961 2544 2664 3552 3816 3922 5088 5328 5883 7632 7844 10656 11766 15264 15688 17649 23532 31376 35298 47064 62752 70596 94128 141192 188256 282384 564768 380868853 761737706 1142606559 1523475412 2285213118 3046950824 3427819677 4570426236 6093901648 6855639354 9140852472 12187803296 13711278708 14092147561 18281704944 20186049209 27422557416 28184295122 36563409888 40372098418 42276442683 54845114832 56368590244 60558147627 80744196836 84552885366 109690229664 112737180488 121116295254 126829328049 161488393672 169105770732 181674442881 225474360976 242232590508 253658656098 322976787344 338211541464 363348885762 450948721952 484465181016 507317312196 645953574688 676423082928 726697771524 746883820733 968930362032 1014634624392 1352846165856 1453395543048 1493767641466 1937860724064 2029269248784 2240651462199 2906791086096 2987535282932 4058538497568 4481302924398 5813582172192 5975070565864 6721954386597 8962605848796 11950141131728 13443908773194 17925211697592 23900282263456 26887817546388 35850423395184 53775635092776 71700846790368 107551270185552 215102540371104