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11357024940 = 223253710715937
BaseRepresentation
bin10101001001110111…
…00111001010101100
31002022111020122101100
422210323213022230
5141224344244230
65114540243100
7551303055612
oct124473471254
932274218340
1011357024940
1148a8820a28
12224b540490
1310bcba0201
1479a4896b2
154670b4660
hex2a4ee72ac

11357024940 has 144 divisors (see below), whose sum is σ = 35713615392. Its totient is φ = 2918965248.

The previous prime is 11357024897. The next prime is 11357024941. The reversal of 11357024940 is 4942075311.

11357024940 is a `hidden beast` number, since 1 + 1 + 3 + 570 + 2 + 49 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11357024895 and 11357024904.

It is not an unprimeable number, because it can be changed into a prime (11357024941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 704652 + ... + 720588.

It is an arithmetic number, because the mean of its divisors is an integer number (248011218).

Almost surely, 211357024940 is an apocalyptic number.

11357024940 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 11357024940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856807696).

11357024940 is an abundant number, since it is smaller than the sum of its proper divisors (24356590452).

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

11357024940 is a wasteful number, since it uses less digits than its factorization.

11357024940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16096 (or 16091 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11357024940 in words is "eleven billion, three hundred fifty-seven million, twenty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 107 111 148 180 185 214 222 321 333 370 428 444 535 555 642 666 740 963 1070 1110 1284 1332 1605 1665 1926 2140 2220 3210 3330 3852 3959 4815 6420 6660 7918 9630 11877 15836 15937 19260 19795 23754 31874 35631 39590 47508 47811 59385 63748 71262 79180 79685 95622 118770 142524 143433 159370 178155 191244 237540 239055 286866 318740 356310 478110 573732 589669 712620 717165 956220 1179338 1434330 1705259 1769007 2358676 2868660 2948345 3410518 3538014 5115777 5307021 5896690 6821036 7076028 8526295 8845035 10231554 10614042 11793380 15347331 17052590 17690070 20463108 21228084 25578885 26535105 30694662 34105180 35380140 51157770 53070210 61389324 63094583 76736655 102315540 106140420 126189166 153473310 189283749 252378332 306946620 315472915 378567498 567851247 630945830 757134996 946418745 1135702494 1261891660 1892837490 2271404988 2839256235 3785674980 5678512470 11357024940