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200144111413200 = 24352592826894229
BaseRepresentation
bin101101100000011110101110…
…101010100010011111010000
3222020122120221020200100221120
4231200132232222202133100
5202213130120010210300
61545400534021122240
760104635442156313
oct5540365652423720
9866576836610846
10200144111413200
1158854706168039
121a545329b59380
13878a67c880c46
14375d0532c897a
15182131abe23a0
hexb607aeaa27d0

200144111413200 has 120 divisors (see below), whose sum is σ = 651994885207200. Its totient is φ = 52467156871680.

The previous prime is 200144111413189. The next prime is 200144111413249. The reversal of 200144111413200 is 2314111441002.

It is a happy number.

200144111413200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2001441114132002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1413376315 + ... + 1413517914.

It is an arithmetic number, because the mean of its divisors is an integer number (5433290710060).

Almost surely, 2200144111413200 is an apocalyptic number.

200144111413200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200144111413200 is an abundant number, since it is smaller than the sum of its proper divisors (451850773794000).

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

200144111413200 is a wasteful number, since it uses less digits than its factorization.

200144111413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826894309 (or 2826894298 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 200144111413200 its reverse (2314111441002), we get a palindrome (202458222854202).

The spelling of 200144111413200 in words is "two hundred trillion, one hundred forty-four billion, one hundred eleven million, four hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 59 60 75 80 100 118 120 150 177 200 236 240 295 300 354 400 472 590 600 708 885 944 1180 1200 1416 1475 1770 2360 2832 2950 3540 4425 4720 5900 7080 8850 11800 14160 17700 23600 35400 70800 2826894229 5653788458 8480682687 11307576916 14134471145 16961365374 22615153832 28268942290 33922730748 42403413435 45230307664 56537884580 67845461496 70672355725 84806826870 113075769160 135690922992 141344711450 166786759511 169613653740 212017067175 226151538320 282689422900 333573519022 339227307480 424034134350 500360278533 565378845800 667147038044 678454614960 833933797555 848068268700 1000720557066 1130757691600 1334294076088 1667867595110 1696136537400 2001441114132 2501801392665 2668588152176 3335735190220 3392273074800 4002882228264 4169668987775 5003602785330 6671470380440 8005764456528 8339337975550 10007205570660 12509006963325 13342940760880 16678675951100 20014411141320 25018013926650 33357351902200 40028822282640 50036027853300 66714703804400 100072055706600 200144111413200