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2240113132344 = 2331961101797359
BaseRepresentation
bin100000100110010001001…
…001011100001100111000
321221011010100001210100210
4200212101021130030320
5243200222430213334
64433032130431120
7320562043311543
oct40462111341470
97834110053323
102240113132344
1179403251102a
123021954324a0
1313331b1c6ac9
147a5ca18b85a
153d40cd345e9
hex2099125c338

2240113132344 has 128 divisors (see below), whose sum is σ = 6051005568000. Its totient is φ = 688917312000.

The previous prime is 2240113132303. The next prime is 2240113132351. The reversal of 2240113132344 is 4432313110422.

It is a congruent number.

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, 2410737 + ... + 3208095.

It is an arithmetic number, because the mean of its divisors is an integer number (47273481000).

Almost surely, 22240113132344 is an apocalyptic number.

2240113132344 is a gapful number since it is divisible by the number (24) 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 2240113132344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025502784000).

2240113132344 is an abundant number, since it is smaller than the sum of its proper divisors (3810892435656).

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

2240113132344 is a wasteful number, since it uses less digits than its factorization.

2240113132344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797549 (or 797545 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2240113132344 its reverse (4432313110422), we get a palindrome (6672426242766).

The spelling of 2240113132344 in words is "two trillion, two hundred forty billion, one hundred thirteen million, one hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 101 114 122 152 183 202 228 244 303 366 404 456 488 606 732 808 1159 1212 1464 1919 2318 2424 3477 3838 4636 5757 6161 6954 7676 9272 11514 12322 13908 15352 18483 23028 24644 27816 36966 46056 49288 73932 117059 147864 234118 351177 468236 702354 797359 936472 1404708 1594718 2392077 2809416 3189436 4784154 6378872 9568308 15149821 19136616 30299642 45449463 48638899 60599284 80533259 90898926 97277798 121198568 145916697 161066518 181797852 194555596 241599777 291833394 322133036 363595704 389111192 483199554 583666788 644266072 924139081 966399108 1167333576 1530131921 1848278162 1932798216 2772417243 3060263842 3696556324 4590395763 4912528799 5544834486 6120527684 7393112648 9180791526 9825057598 11089668972 12241055368 14737586397 18361583052 19650115196 22179337944 29475172794 36723166104 39300230392 58950345588 93338047181 117900691176 186676094362 280014141543 373352188724 560028283086 746704377448 1120056566172 2240113132344