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2201466142440 = 2332535571719197
BaseRepresentation
bin100000000010010001100…
…110110111111011101000
321210110100221221021210100
4200002101212313323220
5242032100313024230
64403201203345400
7315023245313565
oct40022146677350
97713327837710
102201466142440
11779700277554
122b67aa682260
1312c79c54ca46
14787a157d86c
153c3ea00e660
hex200919b7ee8

2201466142440 has 96 divisors (see below), whose sum is σ = 7156780586280. Its totient is φ = 586892253696.

The previous prime is 2201466142433. The next prime is 2201466142441. The reversal of 2201466142440 is 442416641022.

2201466142440 is a `hidden beast` number, since 2 + 2 + 0 + 14 + 6 + 614 + 24 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1068531555204 + 1132934587236 = 1033698^2 + 1064394^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2201466142395 and 2201466142404.

It is not an unprimeable number, because it can be changed into a prime (2201466142441) 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 23 ways as a sum of consecutive naturals, for example, 420922 + ... + 2140118.

Almost surely, 22201466142440 is an apocalyptic number.

2201466142440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201466142440 is an abundant number, since it is smaller than the sum of its proper divisors (4955314443840).

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

2201466142440 is a wasteful number, since it uses less digits than its factorization.

2201466142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722771 (or 1722764 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 2201466142440 in words is "two trillion, two hundred one billion, four hundred sixty-six million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3557 7114 10671 14228 17785 21342 28456 32013 35570 42684 53355 64026 71140 85368 106710 128052 142280 160065 213420 256104 320130 426840 640260 1280520 1719197 3438394 5157591 6876788 8595985 10315182 13753576 15472773 17191970 20630364 25787955 30945546 34383940 41260728 51575910 61891092 68767880 77363865 103151820 123782184 154727730 206303640 309455460 618910920 6115183729 12230367458 18345551187 24460734916 30575918645 36691102374 48921469832 55036653561 61151837290 73382204748 91727755935 110073307122 122303674580 146764409496 183455511870 220146614244 244607349160 275183267805 366911023740 440293228488 550366535610 733822047480 1100733071220 2201466142440