Search a number
-
+
11430041741160 = 2335719976813817
BaseRepresentation
bin1010011001010100001110…
…0100111110011101101000
31111110200221021001121210020
42212111003210332131220
52444232211141204120
640150515542320440
72256536042522460
oct246250344763550
944420837047706
1011430041741160
1137074a9645069
121347275a29120
1364bb049806a3
142b730752aba0
1514c4c56c4640
hexa654393e768

11430041741160 has 128 divisors (see below), whose sum is σ = 39208344088320. Its totient is φ = 2611272333312.

The previous prime is 11430041741147. The next prime is 11430041741171. The reversal of 11430041741160 is 6114714003411.

11430041741160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1729429 + ... + 5084388.

It is an arithmetic number, because the mean of its divisors is an integer number (306315188190).

Almost surely, 211430041741160 is an apocalyptic number.

11430041741160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11430041741160 is an abundant number, since it is smaller than the sum of its proper divisors (27778302347160).

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

11430041741160 is a wasteful number, since it uses less digits than its factorization.

11430041741160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6815835 (or 6815831 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

Adding to 11430041741160 its reverse (6114714003411), we get a palindrome (17544755744571).

The spelling of 11430041741160 in words is "eleven trillion, four hundred thirty billion, forty-one million, seven hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1997 3994 5991 7988 9985 11982 13979 15976 19970 23964 27958 29955 39940 41937 47928 55916 59910 69895 79880 83874 111832 119820 139790 167748 209685 239640 279580 335496 419370 559160 838740 1677480 6813817 13627634 20441451 27255268 34069085 40882902 47696719 54510536 68138170 81765804 95393438 102207255 136276340 143090157 163531608 190786876 204414510 238483595 272552680 286180314 381573752 408829020 476967190 572360628 715450785 817658040 953934380 1144721256 1430901570 1907868760 2861803140 5723606280 13607192549 27214385098 40821577647 54428770196 68035962745 81643155294 95250347843 108857540392 136071925490 163286310588 190500695686 204107888235 272143850980 285751043529 326572621176 381001391372 408215776470 476251739215 544287701960 571502087058 762002782744 816431552940 952503478430 1143004174116 1428755217645 1632863105880 1905006956860 2286008348232 2857510435290 3810013913720 5715020870580 11430041741160