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1103414424320 = 2851389745067
BaseRepresentation
bin10000000011101000100…
…111111111001100000000
310220111002211220111100202
4100003220213333030000
5121034243043034240
62202522424304332
7142501431566255
oct20035047771400
93814084814322
101103414424320
11395a5674957a
12159a233120a8
13800892b16b0
143b596b4b42c
151da80607315
hex100e89ff300

1103414424320 has 144 divisors (see below), whose sum is σ = 2878316894880. Its totient is φ = 402836324352.

The previous prime is 1103414424313. The next prime is 1103414424373. The reversal of 1103414424320 is 234244143011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1108427 + ... + 1853493.

It is an arithmetic number, because the mean of its divisors is an integer number (19988311770).

Almost surely, 21103414424320 is an apocalyptic number.

1103414424320 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 1103414424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439158447440).

1103414424320 is an abundant number, since it is smaller than the sum of its proper divisors (1774902470560).

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

1103414424320 is an equidigital number, since it uses as much as digits as its factorization.

1103414424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745190 (or 745176 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 1103414424320 its reverse (234244143011), we get a palindrome (1337658567331).

The spelling of 1103414424320 in words is "one trillion, one hundred three billion, four hundred fourteen million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 89 104 128 130 160 178 208 256 260 320 356 416 445 520 640 712 832 890 1040 1157 1280 1424 1664 1780 2080 2314 2848 3328 3560 4160 4628 5696 5785 7120 8320 9256 11392 11570 14240 16640 18512 22784 23140 28480 37024 46280 56960 74048 92560 113920 148096 185120 296192 370240 740480 745067 1480960 1490134 2980268 3725335 5960536 7450670 9685871 11921072 14901340 19371742 23842144 29802680 38743484 47684288 48429355 59605360 66310963 77486968 95368576 96858710 119210720 132621926 154973936 190737152 193717420 238421440 265243852 309947872 331554815 387434840 476842880 530487704 619895744 663109630 774869680 862042519 953685760 1060975408 1239791488 1326219260 1549739360 1724085038 2121950816 2479582976 2652438520 3099478720 3448170076 4243901632 4310212595 5304877040 6198957440 6896340152 8487803264 8620425190 10609754080 12397914880 13792680304 16975606528 17240850380 21219508160 27585360608 34481700760 42439016320 55170721216 68963401520 84878032640 110341442432 137926803040 220682884864 275853606080 551707212160 1103414424320