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34001000133342 = 23112157133298049
BaseRepresentation
bin1111011101100011110011…
…00010001111001011011110
311110101110112011022111102220
413232301321202033023132
513424033022013231332
6200151502133330210
710106330323400064
oct756617142171336
9143343464274386
1034001000133342
11a91981a197700
123991756196966
1315c83854c0758
1485792b470034
153de69d98ed2c
hex1eec7988f2de

34001000133342 has 48 divisors (see below), whose sum is σ = 74746726765200. Its totient is φ = 10303233233920.

The previous prime is 34001000133337. The next prime is 34001000133383. The reversal of 34001000133342 is 24333100010043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113929534 + ... + 114227582.

It is an arithmetic number, because the mean of its divisors is an integer number (1557223474275).

Almost surely, 234001000133342 is an apocalyptic number.

34001000133342 is an abundant number, since it is smaller than the sum of its proper divisors (40745726631858).

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

34001000133342 is a wasteful number, since it uses less digits than its factorization.

34001000133342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455209 (or 455198 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34001000133342 its reverse (24333100010043), we get a palindrome (58334100143385).

The spelling of 34001000133342 in words is "thirty-four trillion, one billion, one hundred thirty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 157133 298049 314266 471399 596098 894147 942798 1728463 1788294 3278539 3456926 5185389 6557078 9835617 10370778 19013093 19671234 36063929 38026186 57039279 72127858 108191787 114078558 216383574 46833333517 93666667034 140500000551 281000001102 515166668687 1030333337374 1545500006061 3091000012122 5666833355557 11333666711114 17000500066671 34001000133342