Search a number
-
+
1044314314120 = 2357113110937519
BaseRepresentation
bin11110011001001011111…
…10111101010110001000
310200211120001121211100101
433030211332331112020
5114102223431022440
62115430144015144
7135310040131060
oct17144576752610
93624501554311
101044314314120
11372989228aa0
1214a48a9014b4
137762b10c99c
143878b9c63a0
151c271dad69a
hexf325fbd588

1044314314120 has 128 divisors (see below), whose sum is σ = 3024005529600. Its totient is φ = 315000518400.

The previous prime is 1044314313967. The next prime is 1044314314159. The reversal of 1044314314120 is 214134134401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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, 5373280 + ... + 5564239.

It is an arithmetic number, because the mean of its divisors is an integer number (23625043200).

Almost surely, 21044314314120 is an apocalyptic number.

1044314314120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1044314314120 is an abundant number, since it is smaller than the sum of its proper divisors (1979691215480).

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

1044314314120 is a wasteful number, since it uses less digits than its factorization.

1044314314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10937579 (or 10937575 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1044314314120 its reverse (214134134401), we get a palindrome (1258448448521).

The spelling of 1044314314120 in words is "one trillion, forty-four billion, three hundred fourteen million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 31 35 40 44 55 56 62 70 77 88 110 124 140 154 155 217 220 248 280 308 310 341 385 434 440 616 620 682 770 868 1085 1240 1364 1540 1705 1736 2170 2387 2728 3080 3410 4340 4774 6820 8680 9548 11935 13640 19096 23870 47740 95480 10937519 21875038 43750076 54687595 76562633 87500152 109375190 120312709 153125266 218750380 240625418 306250532 339063089 382813165 437500760 481250836 601563545 612501064 678126178 765626330 842188963 962501672 1203127090 1356252356 1531252660 1684377926 1695315445 2373441623 2406254180 2712504712 3062505320 3368755852 3390630890 3729693979 4210944815 4746883246 4812508360 6737511704 6781261780 7459387958 8421889630 9493766492 11867208115 13562523560 14918775916 16843779260 18648469895 18987532984 23734416230 26107857853 29837551832 33687558520 37296939790 47468832460 52215715706 74593879580 94937664920 104431431412 130539289265 149187759160 208862862824 261078578530 522157157060 1044314314120