Search a number
-
+
42134060034 = 233111074331531
BaseRepresentation
bin100111001111011000…
…101011110000000010
311000202101200000112000
4213033120223300002
51142242304410114
631204531044430
73021056413113
oct471730536002
9130671600460
1042134060034
111696163aa20
1281ba740716
133c86237391
142079ba220a
15116902ae09
hex9cf62bc02

42134060034 has 128 divisors (see below), whose sum is σ = 103403381760. Its totient is φ = 12611116800.

The previous prime is 42134060029. The next prime is 42134060047. The reversal of 42134060034 is 43006043124.

42134060034 is a `hidden beast` number, since 4 + 2 + 13 + 40 + 600 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27519849 + ... + 27521379.

It is an arithmetic number, because the mean of its divisors is an integer number (807838920).

Almost surely, 242134060034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42134060034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51701690880).

42134060034 is an abundant number, since it is smaller than the sum of its proper divisors (61269321726).

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

42134060034 is a wasteful number, since it uses less digits than its factorization.

42134060034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 42134060034 in words is "forty-two billion, one hundred thirty-four million, sixty thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 107 198 214 297 321 433 594 642 866 963 1177 1299 1531 1926 2354 2598 2889 3062 3531 3897 4593 4763 5778 7062 7794 9186 9526 10593 11691 13779 14289 16841 21186 23382 27558 28578 31779 33682 41337 42867 46331 50523 63558 82674 85734 92662 101046 128601 138993 151569 163817 257202 277986 303138 327634 416979 454707 491451 509641 662923 833958 909414 982902 1019282 1250937 1325846 1474353 1528923 1801987 1988769 2501874 2948706 3057846 3603974 3977538 4423059 4586769 5405961 5966307 7292153 8846118 9173538 10811922 11932614 13760307 14584306 16217883 17898921 21876459 27520614 32435766 35797842 43752918 48653649 65629377 70932761 97307298 131258754 141865522 196888131 212798283 393776262 425596566 638394849 780260371 1276789698 1560520742 1915184547 2340781113 3830369094 4681562226 7022343339 14044686678 21067030017 42134060034