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34140105131200 = 265242089506963
BaseRepresentation
bin1111100001100110111001…
…10101101100010011000000
311110212202120121220120001121
413300303130311230103000
513433322413403144300
6200335425304242024
710122353426354515
oct760633465542300
9143782517816047
1034140105131200
11a972812352452
1239b46b8170314
131608523818b83
14860565c8330c
153e30e0d2081a
hex1f0cdcd6c4c0

34140105131200 has 84 divisors (see below), whose sum is σ = 84008157810120. Its totient is φ = 13655690659840.

The previous prime is 34140105131089. The next prime is 34140105131233. The reversal of 34140105131200 is 213150104143.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67088919 + ... + 67595881.

Almost surely, 234140105131200 is an apocalyptic number.

It is an amenable number.

34140105131200 is an abundant number, since it is smaller than the sum of its proper divisors (49868052678920).

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

34140105131200 is a wasteful number, since it uses less digits than its factorization.

34140105131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549074 (or 549059 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 34140105131200 its reverse (213150104143), we get a palindrome (34353255235343).

The spelling of 34140105131200 in words is "thirty-four trillion, one hundred forty billion, one hundred five million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 42089 84178 168356 210445 336712 420890 506963 673424 841780 1013926 1052225 1346848 1683560 2027852 2104450 2534815 2693696 3367120 4055704 4208900 5069630 6734240 8111408 8417800 10139260 12674075 13468480 16222816 16835600 20278520 25348150 32445632 33671200 40557040 50696300 67342400 81114080 101392600 162228160 202785200 405570400 811140800 21337565707 42675131414 85350262828 106687828535 170700525656 213375657070 341401051312 426751314140 533439142675 682802102624 853502628280 1066878285350 1365604205248 1707005256560 2133756570700 3414010513120 4267513141400 6828021026240 8535026282800 17070052565600 34140105131200