Search a number
-
+
3132121341400 = 2352731491439791
BaseRepresentation
bin101101100101000000111…
…110101101110111011000
3102002102112220212211101221
4231211000332231313120
5402304041030411100
610354513210221424
7442200613062202
oct55450076556730
912072486784357
103132121341400
11aa8363930017
12427039124874
1319948605541c
14ab84a005772
155671893801a
hex2d940faddd8

3132121341400 has 96 divisors (see below), whose sum is σ = 7431486408000. Its totient is φ = 1227392179200.

The previous prime is 3132121341397. The next prime is 3132121341443. The reversal of 3132121341400 is 41431212313.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1455505 + ... + 2895295.

It is an arithmetic number, because the mean of its divisors is an integer number (77411316750).

Almost surely, 23132121341400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132121341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715743204000).

3132121341400 is an abundant number, since it is smaller than the sum of its proper divisors (4299365066600).

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

3132121341400 is a wasteful number, since it uses less digits than its factorization.

3132121341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440029 (or 1440020 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 3132121341400 its reverse (41431212313), we get a palindrome (3173552553713).

The spelling of 3132121341400 in words is "three trillion, one hundred thirty-two billion, one hundred twenty-one million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 149 200 292 298 365 584 596 730 745 1192 1460 1490 1825 2920 2980 3650 3725 5960 7300 7450 10877 14600 14900 21754 29800 43508 54385 87016 108770 217540 271925 435080 543850 1087700 1439791 2175400 2879582 5759164 7198955 11518328 14397910 28795820 35994775 57591640 71989550 105104743 143979100 210209486 214528859 287958200 420418972 429057718 525523715 840837944 858115436 1051047430 1072644295 1716230872 2102094860 2145288590 2627618575 4204189720 4290577180 5255237150 5363221475 8581154360 10510474300 10726442950 15660606707 21020948600 21452885900 31321213414 42905771800 62642426828 78303033535 125284853656 156606067070 313212134140 391515167675 626424268280 783030335350 1566060670700 3132121341400