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34133542000 = 245331550541
BaseRepresentation
bin11111110010100001…
…001000010001110000
310021002211021121000021
4133302201020101300
51024401141321000
623403012133224
72315601214465
oct376241102160
9107084247007
1034133542000
1113526549348
126747307214
1332ac87253c
14191b40166c
15d4b97c11a
hex7f2848470

34133542000 has 80 divisors (see below), whose sum is σ = 85197475584. Its totient is φ = 13212960000.

The previous prime is 34133541899. The next prime is 34133542019. The reversal of 34133542000 is 24533143.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213271 + ... + 337270.

Almost surely, 234133542000 is an apocalyptic number.

It is an amenable number.

34133542000 is an abundant number, since it is smaller than the sum of its proper divisors (51063933584).

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

34133542000 is a wasteful number, since it uses less digits than its factorization.

34133542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550595 (or 550579 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The spelling of 34133542000 in words is "thirty-four billion, one hundred thirty-three million, five hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 6200 7750 12400 15500 31000 62000 550541 1101082 2202164 2752705 4404328 5505410 8808656 11010820 13763525 17066771 22021640 27527050 34133542 44043280 55054100 68267084 68817625 85333855 110108200 136534168 137635250 170667710 220216400 273068336 275270500 341335420 426669275 550541000 682670840 853338550 1101082000 1365341680 1706677100 2133346375 3413354200 4266692750 6826708400 8533385500 17066771000 34133542000