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1120045254342 = 2372315736720123
BaseRepresentation
bin10000010011000111111…
…001100100011011000110
310222002000212202012021020
4100103013321210123012
5121322323041114332
62214313000532010
7143630523402210
oct20230771443306
93862025665236
101120045254342
113a201038a2a3
121610a4a81006
1381809969211
143c2d37ad5b0
151e2056aa82c
hex104c7e646c6

1120045254342 has 128 divisors (see below), whose sum is σ = 2695887028224. Its totient is φ = 303305827968.

The previous prime is 1120045254329. The next prime is 1120045254343. The reversal of 1120045254342 is 2434525400211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120045254343) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 55649893 + ... + 55670015.

It is an arithmetic number, because the mean of its divisors is an integer number (21061617408).

Almost surely, 21120045254342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120045254342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347943514112).

1120045254342 is an abundant number, since it is smaller than the sum of its proper divisors (1575841773882).

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

1120045254342 is a wasteful number, since it uses less digits than its factorization.

1120045254342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20682.

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 1120045254342 in words is "one trillion, one hundred twenty billion, forty-five million, two hundred fifty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 157 161 314 322 367 471 483 734 942 966 1099 1101 2198 2202 2569 3297 3611 5138 6594 7222 7707 8441 10833 15414 16882 20123 21666 25277 25323 40246 50554 50646 57619 59087 60369 75831 115238 118174 120738 140861 151662 172857 177261 281722 345714 354522 403333 422583 462829 806666 845166 925658 1209999 1325237 1388487 2419998 2650474 2776974 3159311 3239803 3975711 6318622 6479606 7385141 7951422 9276659 9477933 9719409 14770282 18553318 18955866 19438818 22115177 22155423 27829977 44230354 44310846 51695987 55659954 66345531 72664153 103391974 132691062 145328306 155087961 169858243 217992459 310175922 339716486 435984918 508649071 509574729 1017298142 1019149458 1159467137 1189007701 1525947213 2318934274 2378015402 3051894426 3478401411 3567023103 6956802822 7134046206 8116269959 16232539918 24348809877 26667744151 48697619754 53335488302 80003232453 160006464906 186674209057 373348418114 560022627171 1120045254342