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10042440030 = 23257139114679
BaseRepresentation
bin10010101101001001…
…10111100101011110
3221220212121210220100
421112210313211132
5131031331040110
64340300201530
7503601221550
oct112644674536
927825553810
1010042440030
114293771917
121b432392a6
13c4072980c
146b3a4d4d0
153db992bc0
hex25693795e

10042440030 has 96 divisors (see below), whose sum is σ = 30055334400. Its totient is φ = 2278881216.

The previous prime is 10042440029. The next prime is 10042440047. The reversal of 10042440030 is 3004424001.

It is a super-2 number, since 2×100424400302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10042439985 and 10042440012.

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 47 ways as a sum of consecutive naturals, for example, 30231 + ... + 144909.

It is an arithmetic number, because the mean of its divisors is an integer number (313076400).

Almost surely, 210042440030 is an apocalyptic number.

10042440030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042440030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15027667200).

10042440030 is an abundant number, since it is smaller than the sum of its proper divisors (20012894370).

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

10042440030 is a wasteful number, since it uses less digits than its factorization.

10042440030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114838 (or 114835 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10042440030 its reverse (3004424001), we get a palindrome (13046864031).

The spelling of 10042440030 in words is "ten billion, forty-two million, four hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 139 210 278 315 417 630 695 834 973 1251 1390 1946 2085 2502 2919 4170 4865 5838 6255 8757 9730 12510 14595 17514 29190 43785 87570 114679 229358 344037 573395 688074 802753 1032111 1146790 1605506 1720185 2064222 2408259 3440370 4013765 4816518 5160555 7224777 8027530 10321110 12041295 14449554 15940381 24082590 31880762 36123885 47821143 72247770 79701905 95642286 111582667 143463429 159403810 223165334 239105715 286926858 334748001 478211430 557913335 669496002 717317145 1004244003 1115826670 1434634290 1673740005 2008488006 3347480010 5021220015 10042440030