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40334007073734 = 2341145673495569
BaseRepresentation
bin10010010101110111111100…
…01010011111101111000110
312021210220010022011101020000
421022323332022133233012
520241313021302324414
6221441104223022130
711332015203242553
oct1112737612375706
9167726108141200
1040334007073734
1111940613540190
12463500143a946
1319676329b87ba
149d6267cdba2a
1549e2a7bc5b09
hex24aefe29fbc6

40334007073734 has 80 divisors (see below), whose sum is σ = 98596597168080. Its totient is φ = 12222134115840.

The previous prime is 40334007073699. The next prime is 40334007073753. The reversal of 40334007073734 is 43737070043304.

40334007073734 is a `hidden beast` number, since 40 + 3 + 3 + 400 + 70 + 73 + 73 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40334007073734.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81141502 + ... + 81637070.

It is an arithmetic number, because the mean of its divisors is an integer number (1232457464601).

Almost surely, 240334007073734 is an apocalyptic number.

40334007073734 is an abundant number, since it is smaller than the sum of its proper divisors (58262590094346).

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

40334007073734 is a wasteful number, since it uses less digits than its factorization.

40334007073734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541267 (or 541258 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 45.

The spelling of 40334007073734 in words is "forty trillion, three hundred thirty-four billion, seven million, seventy-three thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 45673 91346 137019 274038 411057 495569 502403 822114 991138 1004806 1233171 1486707 1507209 2466342 2973414 3014418 3699513 4460121 4521627 5451259 7399026 8920242 9043254 10902518 13380363 13564881 16353777 26760726 27129762 32707554 40141089 40694643 49061331 80282178 81389286 98122662 147183993 294367986 441551979 883103958 22634122937 45268245874 67902368811 135804737622 203707106433 248975352307 407414212866 497950704614 611121319299 746926056921 1222242638598 1493852113842 1833363957897 2240778170763 3666727915794 4481556341526 6722334512289 13444669024578 20167003536867 40334007073734