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1135344454020 = 223257318389123
BaseRepresentation
bin10000100001010111110…
…011011000100110000100
311000112112002220001202100
4100201113303120212010
5122100141140012040
62225323043512100
7145011615426000
oct20412763304604
94015462801670
101135344454020
113a8551389477
12164054688630
13830a74929aa
143cd45639700
151e7ed8c1b30
hex10857cd8984

1135344454020 has 144 divisors (see below), whose sum is σ = 4016184681600. Its totient is φ = 259507289664.

The previous prime is 1135344453983. The next prime is 1135344454021. The reversal of 1135344454020 is 204544435311.

1135344454020 is a `hidden beast` number, since 1 + 1 + 3 + 53 + 4 + 44 + 540 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1135344454021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9132822 + ... + 9256301.

It is an arithmetic number, because the mean of its divisors is an integer number (27890171400).

Almost surely, 21135344454020 is an apocalyptic number.

1135344454020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135344454020 is an abundant number, since it is smaller than the sum of its proper divisors (2880840227580).

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

1135344454020 is a wasteful number, since it uses less digits than its factorization.

1135344454020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18389159 (or 18389140 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 1135344454020 its reverse (204544435311), we get a palindrome (1339888889331).

The spelling of 1135344454020 in words is "one trillion, one hundred thirty-five billion, three hundred forty-four million, four hundred fifty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 343 420 441 490 588 630 686 735 882 980 1029 1260 1372 1470 1715 1764 2058 2205 2940 3087 3430 4116 4410 5145 6174 6860 8820 10290 12348 15435 20580 30870 61740 18389123 36778246 55167369 73556492 91945615 110334738 128723861 165502107 183891230 220669476 257447722 275836845 331004214 367782460 386171583 514895444 551673690 643619305 662008428 772343166 827510535 901067027 1103347380 1158514749 1287238610 1544686332 1655021070 1802134054 1930857915 2317029498 2574477220 2703201081 3310042140 3604268108 3861715830 4505335135 4634058996 5406402162 5792573745 6307469189 7723431660 8109603243 9010670270 10812804324 11585147490 12614938378 13516005405 16219206486 18021340540 18922407567 23170294980 25229876756 27032010810 31537345945 32438412972 37844815134 40548016215 54064021620 56767222701 63074691890 75689630268 81096032430 94612037835 113534445402 126149383780 162192064860 189224075670 227068890804 283836113505 378448151340 567672227010 1135344454020