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11241435140 = 22513318915671
BaseRepresentation
bin10100111100000101…
…01011000000000100
31002000102202001222122
422132002223000010
5141010301411030
65055250545112
7545400423245
oct123602530004
932012661878
1011241435140
114849551671
122218898198
1310a1c5b790
14788d9accc
1545bd808e5
hex29e0ab004

11241435140 has 96 divisors (see below), whose sum is σ = 26539591680. Its totient is φ = 3971404800.

The previous prime is 11241435133. The next prime is 11241435143. The reversal of 11241435140 is 4153414211.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (11241435143) 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, 709505 + ... + 725175.

It is an arithmetic number, because the mean of its divisors is an integer number (276454080).

Almost surely, 211241435140 is an apocalyptic number.

11241435140 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 11241435140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269795840).

11241435140 is an abundant number, since it is smaller than the sum of its proper divisors (15298156540).

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

11241435140 is a wasteful number, since it uses less digits than its factorization.

11241435140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15813 (or 15811 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 11241435140 its reverse (4153414211), we get a palindrome (15394849351).

The spelling of 11241435140 in words is "eleven billion, two hundred forty-one million, four hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 89 124 130 155 178 260 310 356 403 445 620 806 890 1157 1612 1780 2015 2314 2759 4030 4628 5518 5785 8060 11036 11570 13795 15671 23140 27590 31342 35867 55180 62684 71734 78355 143468 156710 179335 203723 313420 358670 407446 485801 717340 814892 971602 1018615 1394719 1943204 2037230 2429005 2789438 4074460 4858010 5578876 6315413 6973595 9716020 12630826 13947190 18131347 25261652 27894380 31577065 36262694 43236289 63154130 72525388 86472578 90656735 126308260 172945156 181313470 216181445 362626940 432362890 562071757 864725780 1124143514 2248287028 2810358785 5620717570 11241435140