Search a number
-
+
104206172040 = 233251428120269
BaseRepresentation
bin110000100001100101…
…0111111111110001000
3100221222022022000120100
41201003022333332020
53201403240001130
6115512135525400
710346216563515
oct1410312777610
9327868260510
10104206172040
1140214738443
1218242529860
139a99069839
14508792230c
152a9d637c60
hex18432bff88

104206172040 has 96 divisors (see below), whose sum is σ = 338710483800. Its totient is φ = 27784995840.

The previous prime is 104206172003. The next prime is 104206172053. The reversal of 104206172040 is 40271602401.

104206172040 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 617 + 2 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60330166884 + 43876005156 = 245622^2 + 209466^2 .

It is a junction number, because it is equal to n+sod(n) for n = 104206171995 and 104206172013.

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, 5131026 + ... + 5151294.

Almost surely, 2104206172040 is an apocalyptic number.

104206172040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104206172040 is an abundant number, since it is smaller than the sum of its proper divisors (234504311760).

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

104206172040 is a wasteful number, since it uses less digits than its factorization.

104206172040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34567 (or 34560 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 104206172040 its reverse (40271602401), we get a palindrome (144477774441).

The spelling of 104206172040 in words is "one hundred four billion, two hundred six million, one hundred seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 14281 20269 28562 40538 42843 57124 60807 71405 81076 85686 101345 114248 121614 128529 142810 162152 171372 182421 202690 214215 243228 257058 285620 304035 342744 364842 405380 428430 486456 514116 571240 608070 642645 729684 810760 856860 912105 1028232 1216140 1285290 1459368 1713720 1824210 2432280 2570580 3648420 5141160 7296840 289461589 578923178 868384767 1157846356 1447307945 1736769534 2315692712 2605154301 2894615890 3473539068 4341923835 5210308602 5789231780 6947078136 8683847670 10420617204 11578463560 13025771505 17367695340 20841234408 26051543010 34735390680 52103086020 104206172040