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144100033310440 = 23561171659344039
BaseRepresentation
bin100000110000111011100111…
…010011000010111011101000
3200220012211101002020221010001
4200300323213103002323220
5122341413332011413230
61230250350314032344
742231612105304534
oct4060734723027350
9626184332227101
10144100033310440
1141a0753213a5a9
12141b36757186b4
136253761bac58c
14278269bc7cbc4
15119d58c5b10ca
hex830ee74c2ee8

144100033310440 has 64 divisors (see below), whose sum is σ = 329543117712000. Its totient is φ = 56694600003840.

The previous prime is 144100033310377. The next prime is 144100033310459. The reversal of 144100033310440 is 44013330001441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144100033310399 and 144100033310408.

It is an unprimeable number.

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, 418675941 + ... + 419019979.

It is an arithmetic number, because the mean of its divisors is an integer number (5149111214250).

Almost surely, 2144100033310440 is an apocalyptic number.

144100033310440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144100033310440 is an abundant number, since it is smaller than the sum of its proper divisors (185443084401560).

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

144100033310440 is a wasteful number, since it uses less digits than its factorization.

144100033310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515770 (or 515766 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 144100033310440 its reverse (44013330001441), we get a palindrome (188113363311881).

The spelling of 144100033310440 in words is "one hundred forty-four trillion, one hundred billion, thirty-three million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 171659 343318 344039 686636 688078 858295 1373272 1376156 1716590 1720195 2752312 3433180 3440390 6866360 6880780 10471199 13761560 20942398 20986379 41884796 41972758 52355995 83769592 83945516 104711990 104931895 167891032 209423980 209863790 418847960 419727580 839455160 59057390701 118114781402 236229562804 295286953505 472459125608 590573907010 1181147814020 2362295628040 3602500832761 7205001665522 14410003331044 18012504163805 28820006662088 36025008327610 72050016655220 144100033310440