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10040235000 = 233542923081
BaseRepresentation
bin10010101100111000…
…11101001111111000
3221220201110210011120
421112130131033320
5131030300010000
64340141025240
7503543406105
oct112634351770
927821423146
1010040235000
1142924a6184
121b42555220
13c40136c73
146b3637aac
153db6a96a0
hex25671d3f8

10040235000 has 160 divisors (see below), whose sum is σ = 32448675600. Its totient is φ = 2584960000.

The previous prime is 10040234993. The next prime is 10040235047. The reversal of 10040235000 is 53204001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 423460 + ... + 446540.

Almost surely, 210040235000 is an apocalyptic number.

10040235000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16224337800).

10040235000 is an abundant number, since it is smaller than the sum of its proper divisors (22408440600).

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

10040235000 is a wasteful number, since it uses less digits than its factorization.

10040235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23139 (or 23120 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 10040235000 its reverse (53204001), we get a palindrome (10093439001).

The spelling of 10040235000 in words is "ten billion, forty million, two hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 625 696 725 750 870 1000 1160 1250 1450 1500 1740 1875 2175 2500 2900 3000 3480 3625 3750 4350 5000 5800 7250 7500 8700 10875 14500 15000 17400 18125 21750 23081 29000 36250 43500 46162 54375 69243 72500 87000 92324 108750 115405 138486 145000 184648 217500 230810 276972 346215 435000 461620 553944 577025 669349 692430 923240 1154050 1338698 1384860 1731075 2008047 2308100 2677396 2769720 2885125 3346745 3462150 4016094 4616200 5354792 5770250 6693490 6924300 8032188 8655375 10040235 11540500 13386980 13848600 14425625 16064376 16733725 17310750 20080470 23081000 26773960 28851250 33467450 34621500 40160940 43276875 50201175 57702500 66934900 69243000 80321880 83668625 86553750 100402350 115405000 133869800 167337250 173107500 200804700 251005875 334674500 346215000 401609400 418343125 502011750 669349000 836686250 1004023500 1255029375 1673372500 2008047000 2510058750 3346745000 5020117500 10040235000