Search a number
-
+
3055201122400 = 255274711607907
BaseRepresentation
bin101100011101011000001…
…011010111100001100000
3101211002000012220211200221
4230131120023113201200
5400024022441404100
610255312351052424
7433505506025020
oct54353013274140
911732005824627
103055201122400
11a78781425a99
12414150811114
13192147cb963b
14a7c302bda80
1554715a1c01a
hex2c7582d7860

3055201122400 has 144 divisors (see below), whose sum is σ = 8705373820416. Its totient is φ = 1025210257920.

The previous prime is 3055201122371. The next prime is 3055201122419. The reversal of 3055201122400 is 42211025503.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5540754 + ... + 6067153.

It is an arithmetic number, because the mean of its divisors is an integer number (60453984864).

Almost surely, 23055201122400 is an apocalyptic number.

It is an amenable number.

3055201122400 is an abundant number, since it is smaller than the sum of its proper divisors (5650172698016).

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

3055201122400 is a wasteful number, since it uses less digits than its factorization.

3055201122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11607981 (or 11607968 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 3055201122400 its reverse (42211025503), we get a palindrome (3097412147903).

The spelling of 3055201122400 in words is "three trillion, fifty-five billion, two hundred one million, one hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 47 50 56 70 80 94 100 112 140 160 175 188 200 224 235 280 329 350 376 400 470 560 658 700 752 800 940 1120 1175 1316 1400 1504 1645 1880 2350 2632 2800 3290 3760 4700 5264 5600 6580 7520 8225 9400 10528 13160 16450 18800 26320 32900 37600 52640 65800 131600 263200 11607907 23215814 46431628 58039535 81255349 92863256 116079070 162510698 185726512 232158140 290197675 325021396 371453024 406276745 464316280 545571629 580395350 650042792 812553490 928632560 1091143258 1160790700 1300085584 1625106980 1857265120 2031383725 2182286516 2321581400 2600171168 2727858145 3250213960 3819001403 4062767450 4364573032 4643162800 5455716290 6500427920 7638002806 8125534900 8729146064 9286325600 10911432580 13000855840 13639290725 15276005612 16251069800 17458292128 19095007015 21822865160 27278581450 30552011224 32502139600 38190014030 43645730320 54557162900 61104022448 65004279200 76380028060 87291460640 95475035075 109114325800 122208044896 152760056120 190950070150 218228651600 305520112240 381900140300 436457303200 611040224480 763800280600 1527600561200 3055201122400