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2344201141440 = 26352557954977
BaseRepresentation
bin100010000111001101010…
…001101011110011000000
322022002210102000111211210
4202013031101223303000
5301401410443011230
64552524450010120
7331235326635114
oct42071521536300
98262712014753
102344201141440
11824196481944
1231a3a4276940
13140098930932
1481662111744
1540ea0dcaeb0
hex221cd46bcc0

2344201141440 has 112 divisors (see below), whose sum is σ = 7445757190752. Its totient is φ = 624875175936.

The previous prime is 2344201141433. The next prime is 2344201141441. The reversal of 2344201141440 is 441411024432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2344201141398 and 2344201141407.

It is not an unprimeable number, because it can be changed into a prime (2344201141441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1977232 + ... + 2932208.

Almost surely, 22344201141440 is an apocalyptic number.

2344201141440 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 2344201141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3722878595376).

2344201141440 is an abundant number, since it is smaller than the sum of its proper divisors (5101556049312).

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

2344201141440 is a wasteful number, since it uses less digits than its factorization.

2344201141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957554 (or 957544 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 2344201141440 its reverse (441411024432), we get a palindrome (2785612165872).

The spelling of 2344201141440 in words is "two trillion, three hundred forty-four billion, two hundred one million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2557 5114 7671 10228 12785 15342 20456 25570 30684 38355 40912 51140 61368 76710 81824 102280 122736 153420 163648 204560 245472 306840 409120 490944 613680 818240 954977 1227360 1909954 2454720 2864931 3819908 4774885 5729862 7639816 9549770 11459724 14324655 15279632 19099540 22919448 28649310 30559264 38199080 45838896 57298620 61118528 76398160 91677792 114597240 152796320 183355584 229194480 305592640 458388960 916777920 2441876189 4883752378 7325628567 9767504756 12209380945 14651257134 19535009512 24418761890 29302514268 36628142835 39070019024 48837523780 58605028536 73256285670 78140038048 97675047560 117210057072 146512571340 156280076096 195350095120 234420114144 293025142680 390700190240 468840228288 586050285360 781400380480 1172100570720 2344201141440