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2401404300420 = 2235419793312041
BaseRepresentation
bin100010111100011110110…
…110011010110010000100
322111120102222212001222120
4202330132312122302010
5303321034000103140
65035105004125540
7335332015522266
oct42743666326204
98446388761876
102401404300420
11846480139944
123294a95368b0
131455b3ac86b8
148432b363b36
15426ecd1a1d0
hex22f1ed9ac84

2401404300420 has 96 divisors (see below), whose sum is σ = 6741389047680. Its totient is φ = 638712560640.

The previous prime is 2401404300403. The next prime is 2401404300431. The reversal of 2401404300420 is 240034041042.

It is a happy number.

2401404300420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24014043004202 (a number of 26 digits) contains 22 as substring.

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, 199429600 + ... + 199441640.

It is an arithmetic number, because the mean of its divisors is an integer number (70222802580).

Almost surely, 22401404300420 is an apocalyptic number.

2401404300420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401404300420 is an abundant number, since it is smaller than the sum of its proper divisors (4339984747260).

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

2401404300420 is a wasteful number, since it uses less digits than its factorization.

2401404300420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20405 (or 20403 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2401404300420 its reverse (240034041042), we get a palindrome (2641438341462).

The spelling of 2401404300420 in words is "two trillion, four hundred one billion, four hundred four million, three hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 419 838 1257 1676 2095 2514 4190 5028 6285 7933 8380 12041 12570 15866 23799 24082 25140 31732 36123 39665 47598 48164 60205 72246 79330 95196 118995 120410 144492 158660 180615 237990 240820 361230 475980 722460 3323927 5045179 6647854 9971781 10090358 13295708 15135537 16619635 19943562 20180716 25225895 30271074 33239270 39887124 49858905 50451790 60542148 66478540 75677685 95521253 99717810 100903580 151355370 191042506 199435620 286563759 302710740 382085012 477606265 573127518 955212530 1146255036 1432818795 1910425060 2865637590 5731275180 40023405007 80046810014 120070215021 160093620028 200117025035 240140430042 400234050070 480280860084 600351075105 800468100140 1200702150210 2401404300420