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30542541040 = 245111917310559
BaseRepresentation
bin11100011100011110…
…100011000011110000
32220211120011211202201
4130130132203003300
51000022342303130
622010412352544
72130605213104
oct343436430360
986746154681
1030542541040
1111a53517160
125b04775754
132b598c34bb
14169a515904
15bdb596bca
hex71c7a30f0

30542541040 has 160 divisors (see below), whose sum is σ = 82023321600. Its totient is φ = 10460021760.

The previous prime is 30542541019. The next prime is 30542541047. The reversal of 30542541040 is 4014524503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30542541047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2887281 + ... + 2897839.

It is an arithmetic number, because the mean of its divisors is an integer number (512645760).

Almost surely, 230542541040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30542541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41011660800).

30542541040 is an abundant number, since it is smaller than the sum of its proper divisors (51480780560).

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

30542541040 is a wasteful number, since it uses less digits than its factorization.

30542541040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10775 (or 10769 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The spelling of 30542541040 in words is "thirty billion, five hundred forty-two million, five hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 173 176 190 209 220 304 346 380 418 440 692 760 836 865 880 1045 1384 1520 1672 1730 1903 2090 2768 3287 3344 3460 3806 4180 6574 6920 7612 8360 9515 10559 13148 13840 15224 16435 16720 19030 21118 26296 30448 32870 36157 38060 42236 52592 52795 65740 72314 76120 84472 105590 116149 131480 144628 152240 168944 180785 200621 211180 232298 262960 289256 361570 401242 422360 464596 578512 580745 723140 802484 844720 929192 1003105 1161490 1446280 1604968 1826707 1858384 2006210 2206831 2322980 2892560 3209936 3653414 4012420 4413662 4645960 7306828 8024840 8827324 9133535 9291920 11034155 14613656 16049680 17654648 18267070 20093777 22068310 29227312 34707433 35309296 36534140 40187554 44136620 69414866 73068280 80375108 88273240 100468885 138829732 146136560 160750216 173537165 176546480 200937770 277659464 321500432 347074330 381781763 401875540 555318928 694148660 763563526 803751080 1388297320 1527127052 1607502160 1908908815 2776594640 3054254104 3817817630 6108508208 7635635260 15271270520 30542541040