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41135253040 = 2457225394133
BaseRepresentation
bin100110010011110110…
…100010011000110000
310221011210020100220101
4212103312202120300
51133221111044130
630521451122144
72654240611300
oct462366423060
9127153210811
1041135253040
11164998614a2
127b80143354
133b5732721b
141dc3285600
15110b4d31ca
hex993da2630

41135253040 has 120 divisors (see below), whose sum is σ = 111324816720. Its totient is φ = 14094549504.

The previous prime is 41135253011. The next prime is 41135253043. The reversal of 41135253040 is 4035253114.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (41135253043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9950814 + ... + 9954946.

It is an arithmetic number, because the mean of its divisors is an integer number (927706806).

Almost surely, 241135253040 is an apocalyptic number.

41135253040 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 41135253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55662408360).

41135253040 is an abundant number, since it is smaller than the sum of its proper divisors (70189563680).

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

41135253040 is a wasteful number, since it uses less digits than its factorization.

41135253040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6699 (or 6686 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 41135253040 in words is "forty-one billion, one hundred thirty-five million, two hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 2539 3920 4133 5078 8266 10156 12695 16532 17773 20312 20665 25390 28931 33064 35546 40624 41330 50780 57862 66128 71092 82660 88865 101560 115724 124411 142184 144655 165320 177730 202517 203120 231448 248822 284368 289310 330640 355460 405034 462896 497644 578620 622055 710920 810068 995288 1012585 1157240 1244110 1421840 1620136 1990576 2025170 2314480 2488220 3240272 4050340 4976440 8100680 9952880 10493687 16201360 20987374 41974748 52468435 73455809 83949496 104936870 146911618 167898992 209873740 293823236 367279045 419747480 514190663 587646472 734558090 839494960 1028381326 1175292944 1469116180 2056762652 2570953315 2938232360 4113525304 5141906630 5876464720 8227050608 10283813260 20567626520 41135253040