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41134024360 = 235111319936137
BaseRepresentation
bin100110010011110001…
…110110011010101000
310221011200220221110201
4212103301312122220
51133220302234420
630521404521544
72654224303162
oct462361663250
9127150827421
1041134024360
11164990a2360
127b7b8502b4
133b56cb6bb0
141dc3045932
15110b33e10a
hex993c766a8

41134024360 has 128 divisors (see below), whose sum is σ = 109281312000. Its totient is φ = 13737461760.

The previous prime is 41134024333. The next prime is 41134024429. The reversal of 41134024360 is 6342043114.

41134024360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1120212 + ... + 1156348.

It is an arithmetic number, because the mean of its divisors is an integer number (853760250).

Almost surely, 241134024360 is an apocalyptic number.

41134024360 is a gapful number since it is divisible by the number (40) 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 41134024360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54640656000).

41134024360 is an abundant number, since it is smaller than the sum of its proper divisors (68147287640).

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

41134024360 is a wasteful number, since it uses less digits than its factorization.

41134024360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36371 (or 36367 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 41134024360 its reverse (6342043114), we get a palindrome (47476067474).

The spelling of 41134024360 in words is "forty-one billion, one hundred thirty-four million, twenty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 199 220 260 286 398 440 520 572 715 796 995 1144 1430 1592 1990 2189 2587 2860 3980 4378 5174 5720 7960 8756 10348 10945 12935 17512 20696 21890 25870 28457 36137 43780 51740 56914 72274 87560 103480 113828 142285 144548 180685 227656 284570 289096 361370 397507 469781 569140 722740 795014 939562 1138280 1445480 1590028 1879124 1987535 2348905 3180056 3758248 3975070 4697810 5167591 7191263 7950140 9395620 10335182 14382526 15900280 18791240 20670364 25837955 28765052 35956315 41340728 51675910 57530104 71912630 79103893 93486419 103351820 143825260 158207786 186972838 206703640 287650520 316415572 373945676 395519465 467432095 632831144 747891352 791038930 934864190 1028350609 1582077860 1869728380 2056701218 3164155720 3739456760 4113402436 5141753045 8226804872 10283506090 20567012180 41134024360