Search a number
-
+
2314444032040 = 235741269749467
BaseRepresentation
bin100001101011011111100…
…111010100100000101000
322012020222120202201201211
4201223133213110200220
5300404440133011130
64531124011522504
7326133036451120
oct41533747244050
98166876681654
102314444032040
11812606356148
1231467a759434
1313a33598c2aa
148003c051c80
154030d77ea2a
hex21adf9d4828

2314444032040 has 128 divisors (see below), whose sum is σ = 6119256326400. Its totient is φ = 771290449920.

The previous prime is 2314444032001. The next prime is 2314444032049. The reversal of 2314444032040 is 402304444132.

It is a junction number, because it is equal to n+sod(n) for n = 2314444031993 and 2314444032011.

It is not an unprimeable number, because it can be changed into a prime (2314444032049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2713387 + ... + 3462853.

It is an arithmetic number, because the mean of its divisors is an integer number (47806690050).

Almost surely, 22314444032040 is an apocalyptic number.

2314444032040 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 2314444032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059628163200).

2314444032040 is an abundant number, since it is smaller than the sum of its proper divisors (3804812294360).

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

2314444032040 is a wasteful number, since it uses less digits than its factorization.

2314444032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749795 (or 749791 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 2314444032040 its reverse (402304444132), we get a palindrome (2716748476172).

The spelling of 2314444032040 in words is "two trillion, three hundred fourteen billion, four hundred forty-four million, thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 269 280 287 328 410 538 574 820 1076 1148 1345 1435 1640 1883 2152 2296 2690 2870 3766 5380 5740 7532 9415 10760 11029 11480 15064 18830 22058 37660 44116 55145 75320 77203 88232 110290 154406 220580 308812 386015 441160 617624 749467 772030 1498934 1544060 2997868 3088120 3747335 5246269 5995736 7494670 10492538 14989340 20985076 26231345 29978680 30728147 41970152 52462690 61456294 104925380 122912588 153640735 201606623 209850760 215097029 245825176 307281470 403213246 430194058 614562940 806426492 860388116 1008033115 1075485145 1229125880 1411246361 1612852984 1720776232 2016066230 2150970290 2822492722 4032132460 4301940580 5644985444 7056231805 8064264920 8265871543 8603881160 11289970888 14112463610 16531743086 28224927220 33063486172 41329357715 56449854440 57861100801 66126972344 82658715430 115722201602 165317430860 231444403204 289305504005 330634861720 462888806408 578611008010 1157222016020 2314444032040