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210134140040 = 2351110131315107
BaseRepresentation
bin1100001110110011111…
…0001000010010001000
3202002101121110100011102
43003230332020102020
511420323314440130
6240311223520532
721116214501536
oct3035476102210
9662347410142
10210134140040
1181132275650
12348855b9148
1316a7aa44646
14a255da1156
1556ececc645
hex30ecf88488

210134140040 has 128 divisors (see below), whose sum is σ = 522589345920. Its totient is φ = 75409152000.

The previous prime is 210134140019. The next prime is 210134140049. The reversal of 210134140040 is 40041431012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 210134139994 and 210134140021.

It is not an unprimeable number, because it can be changed into a prime (210134140049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13902167 + ... + 13917273.

It is an arithmetic number, because the mean of its divisors is an integer number (4082729265).

Almost surely, 2210134140040 is an apocalyptic number.

210134140040 is a gapful number since it is divisible by the number (20) 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 210134140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261294672960).

210134140040 is an abundant number, since it is smaller than the sum of its proper divisors (312455205880).

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

210134140040 is a wasteful number, since it uses less digits than its factorization.

210134140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15543 (or 15539 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 210134140040 its reverse (40041431012), we get a palindrome (250175571052).

The spelling of 210134140040 in words is "two hundred ten billion, one hundred thirty-four million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 313 404 440 505 626 808 1010 1111 1252 1565 2020 2222 2504 3130 3443 4040 4444 5555 6260 6886 8888 11110 12520 13772 15107 17215 22220 27544 30214 31613 34430 44440 60428 63226 68860 75535 120856 126452 137720 151070 158065 166177 252904 302140 316130 332354 347743 604280 632260 664708 695486 830885 1264520 1329416 1390972 1525807 1661770 1738715 2781944 3051614 3323540 3477430 4728491 6103228 6647080 6954860 7629035 9456982 12206456 13909720 15258070 16783877 18913964 23642455 30516140 33567754 37827928 47284910 52013401 61032280 67135508 83919385 94569820 104026802 134271016 167838770 189139640 208053604 260067005 335677540 416107208 477577591 520134010 671355080 955155182 1040268020 1910310364 2080536040 2387887955 3820620728 4775775910 5253353501 9551551820 10506707002 19103103640 21013414004 26266767505 42026828008 52533535010 105067070020 210134140040