Search a number
-
+
30041777070 = 2335417693529
BaseRepresentation
bin11011111110101000…
…010010001110101110
32212112122220101202000
4123332220102032232
5443011143331240
621445003313130
72112314614614
oct337650221656
985478811660
1030041777070
1111816888838
1259a4b1b7a6
132aa9c31766
14164dc016b4
15bac62c430
hex6fea123ae

30041777070 has 128 divisors (see below), whose sum is σ = 82195344000. Its totient is φ = 7803371520.

The previous prime is 30041777053. The next prime is 30041777107. The reversal of 30041777070 is 7077714003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8511066 + ... + 8514594.

It is an arithmetic number, because the mean of its divisors is an integer number (642151125).

Almost surely, 230041777070 is an apocalyptic number.

30041777070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30041777070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41097672000).

30041777070 is an abundant number, since it is smaller than the sum of its proper divisors (52153566930).

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

30041777070 is a wasteful number, since it uses less digits than its factorization.

30041777070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The spelling of 30041777070 in words is "thirty billion, forty-one million, seven hundred seventy-seven thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 769 1107 1230 1538 1845 2214 2307 3529 3690 3845 4614 5535 6921 7058 7690 10587 11070 11535 13842 17645 20763 21174 23070 31529 31761 34605 35290 41526 52935 63058 63522 69210 94587 95283 103815 105870 144689 157645 158805 189174 190566 207630 283761 289378 315290 317610 434067 472935 476415 567522 723445 851283 868134 945870 952830 1302201 1418805 1446890 1702566 2170335 2604402 2713801 2837610 3906603 4256415 4340670 5427602 6511005 7813206 8141403 8512830 13022010 13569005 16282806 19533015 24424209 27138010 39066030 40707015 48848418 73272627 81414030 111265841 122121045 146545254 222531682 244242090 333797523 366363135 556329205 667595046 732726270 1001392569 1112658410 1668987615 2002785138 3004177707 3337975230 5006962845 6008355414 10013925690 15020888535 30041777070