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1034113124140 = 2252353227318661
BaseRepresentation
bin11110000110001011111…
…00100000011100101100
310122212020010021200110021
433003011330200130230
5113420330424433030
62111022013051524
7134466200344315
oct17030574403454
93585203250407
101034113124140
11369623998a78
12148502486ba4
137669383c6b5
14380a0c5160c
151bd7650d97a
hexf0c5f2072c

1034113124140 has 96 divisors (see below), whose sum is σ = 2309951903616. Its totient is φ = 388003799040.

The previous prime is 1034113124101. The next prime is 1034113124167. The reversal of 1034113124140 is 414213114301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55406410 + ... + 55425070.

It is an arithmetic number, because the mean of its divisors is an integer number (24061998996).

Almost surely, 21034113124140 is an apocalyptic number.

1034113124140 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 1034113124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154975951808).

1034113124140 is an abundant number, since it is smaller than the sum of its proper divisors (1275838779476).

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

1034113124140 is a wasteful number, since it uses less digits than its factorization.

1034113124140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21019 (or 21017 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1034113124140 its reverse (414213114301), we get a palindrome (1448326238441).

The spelling of 1034113124140 in words is "one trillion, thirty-four billion, one hundred thirteen million, one hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 53 92 106 115 212 230 265 460 530 1060 1219 2273 2438 4546 4876 6095 9092 11365 12190 18661 22730 24380 37322 45460 52279 74644 93305 104558 120469 186610 209116 240938 261395 373220 429203 481876 522790 602345 858406 989033 1045580 1204690 1716812 1978066 2146015 2409380 2770787 3956132 4292030 4945165 5541574 8584060 9890330 11083148 13853935 19780660 22747759 27707870 42416453 45495518 55415740 84832906 90991036 113738795 169665812 212082265 227477590 424164530 454955180 848329060 975578419 1951156838 2248072009 3902313676 4496144018 4877892095 8992288036 9755784190 11240360045 19511568380 22480720090 44961440180 51705656207 103411312414 206822624828 258528281035 517056562070 1034113124140