Search a number
-
+
13221590040 = 2333519644327
BaseRepresentation
bin11000101000001000…
…10111010000011000
31021010102202100212000
430110010113100120
5204034211340130
610023544321000
7645433442511
oct142404272030
937112670760
1013221590040
11567527431a
12268ba73160
131329278079
148d5d6ba08
15525b23260
hex314117418

13221590040 has 128 divisors (see below), whose sum is σ = 46391616000. Its totient is φ = 3340185984.

The previous prime is 13221590023. The next prime is 13221590051. The reversal of 13221590040 is 4009512231.

13221590040 is a `hidden beast` number, since 1 + 32 + 2 + 1 + 590 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13221589986 and 13221590013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301644 + ... + 342683.

It is an arithmetic number, because the mean of its divisors is an integer number (362434500).

Almost surely, 213221590040 is an apocalyptic number.

13221590040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221590040 is an abundant number, since it is smaller than the sum of its proper divisors (33170025960).

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

13221590040 is a wasteful number, since it uses less digits than its factorization.

13221590040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644366 (or 644356 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 13221590040 in words is "thirteen billion, two hundred twenty-one million, five hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 644327 1288654 1932981 2577308 3221635 3865962 5154616 5798943 6443270 7731924 9664905 11597886 12242213 12886540 15463848 17396829 19329810 23195772 24484426 25773080 28994715 34793658 36726639 38659620 46391544 48968852 57989430 61211065 69587316 73453278 77319240 86984145 97937704 110179917 115978860 122422130 139174632 146906556 173968290 183633195 220359834 231957720 244844260 293813112 330539751 347936580 367266390 440719668 489688520 550899585 661079502 695873160 734532780 881439336 1101799170 1322159004 1469065560 1652698755 2203598340 2644318008 3305397510 4407196680 6610795020 13221590040