Search a number
-
+
104355003424032 = 2533412945884243
BaseRepresentation
bin10111101110100100001010…
…111010001101110100100000
3111200111020111121120201001000
4113232210022322031310200
5102134223021334032112
61005540005440112000
730660254160361614
oct2756441272156440
9450436447521030
10104355003424032
11302837879a3679
12b854847605600
13462c83329a21a
141baab482d7344
15c0e7a6bae7dc
hex5ee90ae8dd20

104355003424032 has 96 divisors (see below), whose sum is σ = 311792388384960. Its totient is φ = 33936586467840.

The previous prime is 104355003424027. The next prime is 104355003424033. The reversal of 104355003424032 is 230424300553401.

104355003424032 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 550 + 0 + 34 + 2 + 40 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (104355003424033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1472906698 + ... + 1472977545.

It is an arithmetic number, because the mean of its divisors is an integer number (3247837379010).

Almost surely, 2104355003424032 is an apocalyptic number.

104355003424032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104355003424032 is an abundant number, since it is smaller than the sum of its proper divisors (207437384960928).

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

104355003424032 is a wasteful number, since it uses less digits than its factorization.

104355003424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945884303 (or 2945884289 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 104355003424032 its reverse (230424300553401), we get a palindrome (334779303977433).

The spelling of 104355003424032 in words is "one hundred four trillion, three hundred fifty-five billion, three million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3936 4428 5904 8856 11808 17712 35424 2945884243 5891768486 8837652729 11783536972 17675305458 23567073944 26512958187 35350610916 47134147888 53025916374 70701221832 79538874561 94268295776 106051832748 120781253963 141402443664 159077749122 212103665496 241562507926 282804887328 318155498244 362343761889 424207330992 483125015852 636310996488 724687523778 848414661984 966250031704 1087031285667 1272621992976 1449375047556 1932500063408 2174062571334 2545243985952 2898750095112 3261093857001 3865000126816 4348125142668 5797500190224 6522187714002 8696250285336 11595000380448 13044375428004 17392500570672 26088750856008 34785001141344 52177501712016 104355003424032