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20314104341040 = 2432548757934361
BaseRepresentation
bin1001001111001101111101…
…11110010010001000110000
32122221000020212012021222100
410213212332332102020300
510130311241202403130
6111112100512140400
74164434304615126
oct447467676221060
978830225167870
1020314104341040
116522188349534
122341014537700
13b447c5224b73
145032ca677916
1525363a8d8c60
hex1279bef92230

20314104341040 has 120 divisors (see below), whose sum is σ = 68361620210208. Its totient is φ = 5405971000320.

The previous prime is 20314104340979. The next prime is 20314104341071. The reversal of 20314104341040 is 4014340141302.

20314104341040 is a `hidden beast` number, since 2 + 0 + 314 + 1 + 0 + 4 + 341 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20314104340995 and 20314104341013.

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 23 ways as a sum of consecutive naturals, for example, 28616541 + ... + 29317820.

Almost surely, 220314104341040 is an apocalyptic number.

20314104341040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20314104341040 is an abundant number, since it is smaller than the sum of its proper divisors (48047515869168).

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

20314104341040 is a wasteful number, since it uses less digits than its factorization.

20314104341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57934867 (or 57934858 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 20314104341040 its reverse (4014340141302), we get a palindrome (24328444482342).

The spelling of 20314104341040 in words is "twenty trillion, three hundred fourteen billion, one hundred four million, three hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 487 720 974 1461 1948 2435 2922 3896 4383 4870 5844 7305 7792 8766 9740 11688 14610 17532 19480 21915 23376 29220 35064 38960 43830 58440 70128 87660 116880 175320 350640 57934361 115868722 173803083 231737444 289671805 347606166 463474888 521409249 579343610 695212332 869015415 926949776 1042818498 1158687220 1390424664 1738030830 2085636996 2317374440 2607046245 2780849328 3476061660 4171273992 4634748880 5214092490 6952123320 8342547984 10428184980 13904246640 20856369960 28214033807 41712739920 56428067614 84642101421 112856135228 141070169035 169284202842 225712270456 253926304263 282140338070 338568405684 423210507105 451424540912 507852608526 564280676140 677136811368 846421014210 1015705217052 1128561352280 1269631521315 1354273622736 1692842028420 2031410434104 2257122704560 2539263042630 3385684056840 4062820868208 5078526085260 6771368113680 10157052170520 20314104341040