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1034021121144 = 2331117230396863
BaseRepresentation
bin11110000110000000111…
…01100010110001111000
310122211222201011110001220
433003000131202301320
5113420133401334034
62111004525112040
7134464002340104
oct17030035426170
93584881143056
101034021121144
11369586a69840
121484976b8620
137667a768b5b
1438092942904
151bd6d3d8749
hexf0c0762c78

1034021121144 has 64 divisors (see below), whose sum is σ = 2985943357440. Its totient is φ = 294907983360.

The previous prime is 1034021121143. The next prime is 1034021121157. The reversal of 1034021121144 is 4411211204301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034021121143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115193944 + ... + 115202919.

It is an arithmetic number, because the mean of its divisors is an integer number (46655364960).

Almost surely, 21034021121144 is an apocalyptic number.

It is an amenable number.

1034021121144 is an abundant number, since it is smaller than the sum of its proper divisors (1951922236296).

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

1034021121144 is a wasteful number, since it uses less digits than its factorization.

1034021121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230396900 (or 230396896 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1034021121144 its reverse (4411211204301), we get a palindrome (5445232325445).

The spelling of 1034021121144 in words is "one trillion, thirty-four billion, twenty-one million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 230396863 460793726 691190589 921587452 1382381178 1843174904 2534365493 2764762356 3916746671 5068730986 5529524712 7603096479 7833493342 10137461972 11750240013 15206192958 15666986684 20274923944 23500480026 30412385916 31333973368 43084213381 47000960052 60824771832 86168426762 94001920104 129252640143 172336853524 258505280286 344673707048 517010560572 1034021121144