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200200402341440 = 2657140072199061
BaseRepresentation
bin101101100001010011001001…
…110111011000111001000000
3222020211222020020222210202122
4231201103021313120321000
5202220040410444411230
61545442443431103412
760112000413154604
oct5541231167307100
9866758206883678
10200200402341440
11588765719a9636
121a554219811b68
138792a80a5c2c7
143761a73319504
151822a129dabe5
hexb614c9dd8e40

200200402341440 has 112 divisors (see below), whose sum is σ = 483562544972544. Its totient is φ = 78932531865600.

The previous prime is 200200402341419. The next prime is 200200402341487. The reversal of 200200402341440 is 44143204002002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89939510 + ... + 92138570.

Almost surely, 2200200402341440 is an apocalyptic number.

200200402341440 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 200200402341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241781272486272).

200200402341440 is an abundant number, since it is smaller than the sum of its proper divisors (283362142631104).

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

200200402341440 is a wasteful number, since it uses less digits than its factorization.

200200402341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203156 (or 2203146 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 200200402341440 its reverse (44143204002002), we get a palindrome (244343606343442).

The spelling of 200200402341440 in words is "two hundred trillion, two hundred billion, four hundred two million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1420 2272 2840 4007 4544 5680 8014 11360 16028 20035 22720 32056 40070 64112 80140 128224 160280 256448 284497 320560 568994 641120 1137988 1282240 1422485 2199061 2275976 2844970 4398122 4551952 5689940 8796244 9103904 10995305 11379880 17592488 18207808 21990610 22759760 35184976 43981220 45519520 70369952 87962440 91039040 140739904 156133331 175924880 312266662 351849760 624533324 703699520 780666655 1249066648 1561333310 2498133296 3122666620 4996266592 6245333240 8811637427 9992533184 12490666480 17623274854 24981332960 35246549708 44058187135 49962665920 70493099416 88116374270 140986198832 176232748540 281972397664 352465497080 563944795328 625626257317 704930994160 1251252514634 1409861988320 2502505029268 2819723976640 3128131286585 5005010058536 6256262573170 10010020117072 12512525146340 20020040234144 25025050292680 40040080468288 50050100585360 100100201170720 200200402341440