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10140043655540 = 22541197241260461
BaseRepresentation
bin1001001110001110100110…
…1100110011100101110100
31022220101020002002001201102
42103203221230303211310
52312113302133434130
633322134410345232
72064410506645241
oct223435154634564
938811202061642
1010140043655540
11325a406325217
12117926012b218
13587281a93ba6
14270ad04825c8
15128b748d9645
hex938e9b33974

10140043655540 has 96 divisors (see below), whose sum is σ = 22015244246688. Its totient is φ = 3920652288000.

The previous prime is 10140043655449. The next prime is 10140043655543. The reversal of 10140043655540 is 4555634004101.

It can be written as a sum of positive squares in 16 ways, for example, as 40524910864 + 10099518744676 = 201308^2 + 3177974^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10140043655494 and 10140043655503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140043655543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38800910 + ... + 39061370.

It is an arithmetic number, because the mean of its divisors is an integer number (229325460903).

Almost surely, 210140043655540 is an apocalyptic number.

10140043655540 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 10140043655540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007622123344).

10140043655540 is an abundant number, since it is smaller than the sum of its proper divisors (11875200591148).

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

10140043655540 is a wasteful number, since it uses less digits than its factorization.

10140043655540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260949 (or 260947 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

Adding to 10140043655540 its reverse (4555634004101), we get a palindrome (14695677659641).

The spelling of 10140043655540 in words is "ten trillion, one hundred forty billion, forty-three million, six hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 197 205 241 394 410 482 788 820 964 985 1205 1970 2410 3940 4820 8077 9881 16154 19762 32308 39524 40385 47477 49405 80770 94954 98810 161540 189908 197620 237385 260461 474770 520922 949540 1041844 1302305 1946557 2604610 3893114 5209220 7786228 9732785 10678901 19465570 21357802 38931140 42715604 51310817 53394505 62771101 102621634 106789010 125542202 205243268 213578020 251084404 256554085 313855505 513108170 627711010 1026216340 1255422020 2103743497 2573615141 4207486994 5147230282 8414973988 10294460564 10518717485 12365906897 12868075705 21037434970 24731813794 25736151410 42074869940 49463627588 51472302820 61829534485 123659068970 247318137940 507002182777 1014004365554 2028008731108 2535010913885 5070021827770 10140043655540