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1140304221330 = 2356716714092411
BaseRepresentation
bin10000100101111111011…
…011011001010010010010
311001000022202120100102220
4100211333123121102102
5122140320340040310
62231503140521510
7145245541646001
oct20457733312222
94030282510386
101140304221330
113aa66700701a
12164bb96b0296
13836b7ba5b51
143d296226c38
151e9de02c670
hex1097f6d9492

1140304221330 has 128 divisors (see below), whose sum is σ = 2797351925760. Its totient is φ = 297414205440.

The previous prime is 1140304221313. The next prime is 1140304221341. The reversal of 1140304221330 is 331224030411.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1140304221330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 472957825 + ... + 472960235.

It is an arithmetic number, because the mean of its divisors is an integer number (21854311920).

Almost surely, 21140304221330 is an apocalyptic number.

1140304221330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140304221330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398675962880).

1140304221330 is an abundant number, since it is smaller than the sum of its proper divisors (1657047704430).

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

1140304221330 is a wasteful number, since it uses less digits than its factorization.

1140304221330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1140304221330 its reverse (331224030411), we get a palindrome (1471528251741).

The spelling of 1140304221330 in words is "one trillion, one hundred forty billion, three hundred four million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 167 201 334 335 402 501 670 835 1002 1005 1409 1670 2010 2411 2505 2818 4227 4822 5010 7045 7233 8454 11189 12055 14090 14466 21135 22378 24110 33567 36165 42270 55945 67134 72330 94403 111890 161537 167835 188806 235303 283209 323074 335670 402637 470606 472015 484611 566418 705909 805274 807685 944030 969222 1176515 1207911 1411818 1416045 1615370 2013185 2353030 2415822 2423055 2832090 3397099 3529545 4026370 4846110 6039555 6794198 7059090 10191297 12079110 15765301 16985495 20382594 26976679 31530602 33970990 47295903 50956485 53953358 78826505 80930037 94591806 101912970 134883395 157653010 161860074 227605633 236479515 269766790 404650185 455211266 472959030 567315533 682816899 809300370 1134631066 1138028165 1365633798 1701946599 2276056330 2836577665 3403893198 3414084495 5673155330 6828168990 8509732995 17019465990 38010140711 76020281422 114030422133 190050703555 228060844266 380101407110 570152110665 1140304221330