Search a number
-
+
20240733414200 = 23521354191436593
BaseRepresentation
bin1001001101000101010011…
…01110011010001100111000
32122122222212111212000210112
410212202221232122030320
510123111010223223300
6111014244202403452
74156226146206335
oct446425156321470
978588774760715
1020240733414200
1164a4057379212
12232a958800588
13b3a9015c3860
144dd92a0a198c
152517943b4e35
hex1268a9b9a338

20240733414200 has 96 divisors (see below), whose sum is σ = 50689070014800. Its totient is φ = 7472117237760.

The previous prime is 20240733414193. The next prime is 20240733414227. The reversal of 20240733414200 is 241433704202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13371104 + ... + 14807696.

Almost surely, 220240733414200 is an apocalyptic number.

20240733414200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20240733414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25344535007400).

20240733414200 is an abundant number, since it is smaller than the sum of its proper divisors (30448336600600).

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

20240733414200 is a wasteful number, since it uses less digits than its factorization.

20240733414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442041 (or 1442032 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The spelling of 20240733414200 in words is "twenty trillion, two hundred forty billion, seven hundred thirty-three million, four hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 5419 10838 21676 27095 43352 54190 70447 108380 135475 140894 216760 270950 281788 352235 541900 563576 704470 1083800 1408940 1436593 1761175 2817880 2873186 3522350 5746372 7044700 7182965 11492744 14089400 14365930 18675709 28731860 35914825 37351418 57463720 71829650 74702836 93378545 143659300 149405672 186757090 287318600 373514180 466892725 747028360 933785450 1867570900 3735141800 7784897467 15569794934 31139589868 38924487335 62279179736 77848974670 101203667071 155697949340 194622436675 202407334142 311395898680 389244873350 404814668284 506018335355 778489746700 809629336568 1012036670710 1556979493400 2024073341420 2530091676775 4048146682840 5060183353550 10120366707100 20240733414200