Search a number
-
+
124102013040 = 24325295943583
BaseRepresentation
bin111001110010100001…
…1100111000001110000
3102212022212211110112100
41303211003213001300
54013130103404130
6133002304500400
711652235464045
oct1634503470160
9385285743470
10124102013040
11486a4395245
122007561a700
13b919ca5915
1460140531cc
15336517bc60
hex1ce50e7070

124102013040 has 120 divisors (see below), whose sum is σ = 431147583360. Its totient is φ = 31952696832.

The previous prime is 124102013023. The next prime is 124102013053. The reversal of 124102013040 is 40310201421.

124102013040 is a `hidden beast` number, since 12 + 410 + 201 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2950912 + ... + 2992671.

It is an arithmetic number, because the mean of its divisors is an integer number (3592896528).

Almost surely, 2124102013040 is an apocalyptic number.

124102013040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124102013040 is an abundant number, since it is smaller than the sum of its proper divisors (307045570320).

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

124102013040 is a wasteful number, since it uses less digits than its factorization.

124102013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5943631 (or 5943622 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 124102013040 its reverse (40310201421), we get a palindrome (164412214461).

The spelling of 124102013040 in words is "one hundred twenty-four billion, one hundred two million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6960 10440 20880 5943583 11887166 17830749 23774332 29717915 35661498 47548664 53492247 59435830 71322996 89153745 95097328 106984494 118871660 142645992 172363907 178307490 213968988 237743320 267461235 285291984 344727814 356614980 427937976 475486640 517091721 534922470 689455628 713229960 855875952 861819535 1034183442 1069844940 1378911256 1426459920 1551275163 1723639070 2068366884 2139689880 2585458605 2757822512 3102550326 3447278140 4136733768 4279379760 5170917210 6205100652 6894556280 7756375815 8273467536 10341834420 12410201304 13789112560 15512751630 20683668840 24820402608 31025503260 41367337680 62051006520 124102013040