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34150146000 = 243535691691
BaseRepresentation
bin11111110011100000…
…011101111111010000
310021010222112011102020
4133303200131333100
51024414414133000
623404404051440
72316162310605
oct376340357720
9107128464366
1034150146000
111353495a163
126750993b80
1332b3136ca9
14191d6c46ac
15d4d15bba0
hex7f381dfd0

34150146000 has 80 divisors (see below), whose sum is σ = 110100090048. Its totient is φ = 9106704000.

The previous prime is 34150145983. The next prime is 34150146061. The reversal of 34150146000 is 64105143.

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 (24).

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, 2839846 + ... + 2851845.

Almost surely, 234150146000 is an apocalyptic number.

34150146000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34150146000 is an abundant number, since it is smaller than the sum of its proper divisors (75949944048).

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

34150146000 is a wasteful number, since it uses less digits than its factorization.

34150146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691717 (or 5691701 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 34150146000 in words is "thirty-four billion, one hundred fifty million, one hundred forty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 5691691 11383382 17075073 22766764 28458455 34150146 45533528 56916910 68300292 85375365 91067056 113833820 136600584 142292275 170750730 227667640 273201168 284584550 341501460 426876825 455335280 569169100 683002920 711461375 853753650 1138338200 1366005840 1422922750 1707507300 2134384125 2276676400 2845845500 3415014600 4268768250 5691691000 6830029200 8537536500 11383382000 17075073000 34150146000