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30441235700 = 225219371732503
BaseRepresentation
bin11100010110011100…
…000110010011110100
32220120111112222222002
4130112130012103310
5444320424020300
621552353154432
72125235143211
oct342634062364
986514488862
1030441235700
1111a01313a37
125a9685ba18
132b41913805
14168aca4b08
15bd27355d5
hex7167064f4

30441235700 has 144 divisors (see below), whose sum is σ = 71854984320. Its totient is φ = 11154516480.

The previous prime is 30441235613. The next prime is 30441235703. The reversal of 30441235700 is 753214403.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30441235703) 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 47 ways as a sum of consecutive naturals, for example, 12160649 + ... + 12163151.

Almost surely, 230441235700 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 30441235700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35927492160).

30441235700 is an abundant number, since it is smaller than the sum of its proper divisors (41413748620).

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

30441235700 is a wasteful number, since it uses less digits than its factorization.

30441235700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The spelling of 30441235700 in words is "thirty billion, four hundred forty-one million, two hundred thirty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 19 20 25 37 38 50 74 76 95 100 148 173 185 190 346 370 380 475 692 703 740 865 925 950 1406 1730 1850 1900 2503 2812 3287 3460 3515 3700 4325 5006 6401 6574 7030 8650 10012 12515 12802 13148 14060 16435 17300 17575 25030 25604 32005 32870 35150 47557 50060 62575 64010 65740 70300 82175 92611 95114 121619 125150 128020 160025 164350 185222 190228 237785 243238 250300 320050 328700 370444 433019 463055 475570 486476 608095 640100 866038 926110 951140 1188925 1216190 1732076 1759609 1852220 2165095 2315275 2377850 2432380 3040475 3519218 4330190 4630550 4755700 6080950 7038436 8227361 8660380 8798045 9261100 10825475 12161900 16021703 16454722 17596090 21650950 32043406 32909444 35192180 41136805 43301900 43990225 64086812 80108515 82273610 87980450 160217030 164547220 175960900 205684025 304412357 320434060 400542575 411368050 608824714 801085150 822736100 1217649428 1522061785 1602170300 3044123570 6088247140 7610308925 15220617850 30441235700