Search a number
-
+
1110332344032 = 253217297820123
BaseRepresentation
bin10000001010000100111…
…101110000011011100000
310221010221222012020011100
4100022010331300123200
5121142430040002112
62210025111314400
7143135033126352
oct20120475603340
93833858166140
101110332344032
11398986730a9a
1215b23407ba00
138091c5a9402
143ba5181d0d2
151dd37b0b2dc
hex10284f706e0

1110332344032 has 144 divisors (see below), whose sum is σ = 3458528040240. Its totient is φ = 336327806976.

The previous prime is 1110332344013. The next prime is 1110332344073. The reversal of 1110332344032 is 2304432330111.

It is a happy number.

1110332344032 is a `hidden beast` number, since 11 + 10 + 3 + 3 + 234 + 403 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1110332343987 and 1110332344005.

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, 3768078 + ... + 4052045.

It is an arithmetic number, because the mean of its divisors is an integer number (24017555835).

Almost surely, 21110332344032 is an apocalyptic number.

1110332344032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1110332344032 is an abundant number, since it is smaller than the sum of its proper divisors (2348195696208).

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

1110332344032 is a wasteful number, since it uses less digits than its factorization.

1110332344032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7820185 (or 7820174 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1110332344032 its reverse (2304432330111), we get a palindrome (3414764674143).

The spelling of 1110332344032 in words is "one trillion, one hundred ten billion, three hundred thirty-two million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 68 72 87 96 102 116 136 144 153 174 204 232 261 272 288 306 348 408 464 493 522 544 612 696 816 928 986 1044 1224 1392 1479 1632 1972 2088 2448 2784 2958 3944 4176 4437 4896 5916 7888 8352 8874 11832 15776 17748 23664 35496 47328 70992 141984 7820123 15640246 23460369 31280492 46920738 62560984 70381107 93841476 125121968 132942091 140762214 187682952 226783567 250243936 265884182 281524428 375365904 398826273 453567134 531768364 563048856 680350701 750731808 797652546 907134268 1063536728 1126097712 1196478819 1360701402 1595305092 1814268536 2041052103 2127073456 2252195424 2392957638 2721402804 3190610184 3628537072 3855320639 4082104206 4254146912 4785915276 5442805608 6381220368 7257074144 7710641278 8164208412 9571830552 10885611216 11565961917 12762440736 15421282556 16328416824 19143661104 21771222432 23131923834 30842565112 32656833648 34697885751 38287322208 46263847668 61685130224 65313667296 69395771502 92527695336 123370260448 138791543004 185055390672 277583086008 370110781344 555166172016 1110332344032