Search a number
-
+
1054225114360 = 23511109199110459
BaseRepresentation
bin11110101011101001011…
…01101010010011111000
310201210010202112122101221
433111310231222103320
5114233023112124420
62124145422521424
7136110452422315
oct17256455522370
93653122478357
101054225114360
113771046589a0
12150395a36274
137854a498522
143904bd69d0c
151c651eebcaa
hexf574b6a4f8

1054225114360 has 128 divisors (see below), whose sum is σ = 2624529600000. Its totient is φ = 377925419520.

The previous prime is 1054225114339. The next prime is 1054225114361. The reversal of 1054225114360 is 634115224501.

It is a super-2 number, since 2×10542251143602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054225114361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9488811 + ... + 9599269.

It is an arithmetic number, because the mean of its divisors is an integer number (20504137500).

Almost surely, 21054225114360 is an apocalyptic number.

1054225114360 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 1054225114360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312264800000).

1054225114360 is an abundant number, since it is smaller than the sum of its proper divisors (1570304485640).

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

1054225114360 is a wasteful number, since it uses less digits than its factorization.

1054225114360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110789 (or 110785 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 1054225114360 in words is "one trillion, fifty-four billion, two hundred twenty-five million, one hundred fourteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 199 218 220 398 436 440 545 796 872 995 1090 1199 1592 1990 2180 2189 2398 3980 4360 4378 4796 5995 7960 8756 9592 10945 11990 17512 21691 21890 23980 43382 43780 47960 86764 87560 108455 110459 173528 216910 220918 238601 433820 441836 477202 552295 867640 883672 954404 1104590 1193005 1215049 1908808 2209180 2386010 2430098 4418360 4772020 4860196 6075245 9544040 9720392 12040031 12150490 21981341 24080062 24300980 43962682 48160124 48601960 60200155 87925364 96320248 109906705 120400310 132440341 175850728 219813410 240800620 241794751 264880682 439626820 481601240 483589502 529761364 662201705 879253640 967179004 1059522728 1208973755 1324403410 1934358008 2395966169 2417947510 2648806820 4791932338 4835895020 5297613640 9583864676 9671790040 11979830845 19167729352 23959661690 26355627859 47919323380 52711255718 95838646760 105422511436 131778139295 210845022872 263556278590 527112557180 1054225114360