Search a number
-
+
1421320104400 = 245273131621771
BaseRepresentation
bin10100101011101101010…
…001111010100111010000
312000212200020112022112011
4110223231101322213100
5141241330421320100
63004540114312304
7204454431356560
oct24535521724720
95025606468464
101421320104400
114a8862166289
121ab565288694
13a4050938571
144cb13d66da0
1526e89c3cbba
hex14aed47a9d0

1421320104400 has 120 divisors (see below), whose sum is σ = 3915009504704. Its totient is φ = 485752550400.

The previous prime is 1421320104397. The next prime is 1421320104401. The reversal of 1421320104400 is 44010231241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1421320104401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65515 + ... + 1687285.

Almost surely, 21421320104400 is an apocalyptic number.

1421320104400 is a gapful number since it is divisible by the number (10) 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 1421320104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957504752352).

1421320104400 is an abundant number, since it is smaller than the sum of its proper divisors (2493689400304).

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

1421320104400 is a wasteful number, since it uses less digits than its factorization.

1421320104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622109 (or 1622098 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1421320104400 its reverse (44010231241), we get a palindrome (1465330335641).

The spelling of 1421320104400 in words is "one trillion, four hundred twenty-one billion, three hundred twenty million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 313 350 400 560 626 700 1252 1400 1565 2191 2504 2800 3130 4382 5008 6260 7825 8764 10955 12520 15650 17528 21910 25040 31300 35056 43820 54775 62600 87640 109550 125200 175280 219100 438200 876400 1621771 3243542 6487084 8108855 11352397 12974168 16217710 22704794 25948336 32435420 40544275 45409588 56761985 64870840 81088550 90819176 113523970 129741680 162177100 181638352 227047940 283809925 324354200 454095880 507614323 567619850 648708400 908191760 1015228646 1135239700 2030457292 2270479400 2538071615 3553300261 4060914584 4540958800 5076143230 7106600522 8121829168 10152286460 12690358075 14213201044 17766501305 20304572920 25380716150 28426402088 35533002610 40609145840 50761432300 56852804176 71066005220 88832506525 101522864600 142132010440 177665013050 203045729200 284264020880 355330026100 710660052200 1421320104400