Search a number
-
+
20414321203020 = 22352331477193109
BaseRepresentation
bin1001010010001000101000…
…10111010001011101001100
32200021120221010220100221020
410221010110113101131030
510133432012211444040
6111230113143234140
74204612624110243
oct451042427213514
980246833810836
1020414321203020
116560735134208
122358522a48950
13b510a69438b4
145080b642995a
15256053badcd0
hex1291145d174c

20414321203020 has 96 divisors (see below), whose sum is σ = 61569363824640. Its totient is φ = 5039159220480.

The previous prime is 20414321202983. The next prime is 20414321203027. The reversal of 20414321203020 is 2030212341402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20414321203027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 238553775 + ... + 238639334.

It is an arithmetic number, because the mean of its divisors is an integer number (641347539840).

Almost surely, 220414321203020 is an apocalyptic number.

20414321203020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20414321203020 is an abundant number, since it is smaller than the sum of its proper divisors (41155042621620).

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

20414321203020 is a wasteful number, since it uses less digits than its factorization.

20414321203020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477193175 (or 477193173 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20414321203020 its reverse (2030212341402), we get a palindrome (22444533544422).

The spelling of 20414321203020 in words is "twenty trillion, four hundred fourteen billion, three hundred twenty-one million, two hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 92 93 115 124 138 155 186 230 276 310 345 372 460 465 620 690 713 930 1380 1426 1860 2139 2852 3565 4278 7130 8556 10695 14260 21390 42780 477193109 954386218 1431579327 1908772436 2385965545 2863158654 4771931090 5726317308 7157896635 9543862180 10975441507 14315793270 14792986379 21950883014 28631586540 29585972758 32926324521 43901766028 44378959137 54877207535 59171945516 65852649042 73964931895 88757918274 109754415070 131705298084 147929863790 164631622605 177515836548 219508830140 221894795685 295859727580 329263245210 340238686717 443789591370 658526490420 680477373434 887579182740 1020716060151 1360954746868 1701193433585 2041432120302 3402386867170 4082864240604 5103580300755 6804773734340 10207160601510 20414321203020