Search a number
-
+
5323440214100 = 22521916191730581
BaseRepresentation
bin100110101110111010111…
…0000110101000001010100
3200211220201200221101222002
41031131311300311001110
51144204401143322400
615153315450454432
71056414545135231
oct115356560650124
920756650841862
105323440214100
111772727245628
1271b875434418
132c7cc9233738
14145927a48788
159371cb98ed5
hex4d775c35054

5323440214100 has 72 divisors (see below), whose sum is σ = 12167375925600. Its totient is φ = 2016056476800.

The previous prime is 5323440214097. The next prime is 5323440214111. The reversal of 5323440214100 is 14120443235.

It is a super-3 number, since 3×53234402141003 (a number of 39 digits) contains 333 as substring.

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, 2210810 + ... + 3941390.

It is an arithmetic number, because the mean of its divisors is an integer number (168991332300).

Almost surely, 25323440214100 is an apocalyptic number.

5323440214100 is a gapful number since it is divisible by the number (50) 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 5323440214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083687962800).

5323440214100 is an abundant number, since it is smaller than the sum of its proper divisors (6843935711500).

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

5323440214100 is a wasteful number, since it uses less digits than its factorization.

5323440214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732233 (or 1732226 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 5323440214100 its reverse (14120443235), we get a palindrome (5337560657335).

The spelling of 5323440214100 in words is "five trillion, three hundred twenty-three billion, four hundred forty million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1619 1900 3238 6476 8095 16190 30761 32380 40475 61522 80950 123044 153805 161900 307610 615220 769025 1538050 1730581 3076100 3461162 6922324 8652905 17305810 32881039 34611620 43264525 65762078 86529050 131524156 164405195 173058100 328810390 657620780 822025975 1644051950 2801810639 3288103900 5603621278 11207242556 14009053195 28018106390 53234402141 56036212780 70045265975 106468804282 140090531950 212937608564 266172010705 280181063900 532344021410 1064688042820 1330860053525 2661720107050 5323440214100