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41233052040 = 233510128112107
BaseRepresentation
bin100110011001101011…
…100111000110001000
310221102121021001220120
4212121223213012020
51133421130131130
630535303223240
72656536105465
oct463153470610
9127377231816
1041233052040
1116539a8a314
127ba8a47b20
133b71679c5b
141dd226266c
151114da0910
hex999ae7188

41233052040 has 128 divisors (see below), whose sum is σ = 125378824320. Its totient is φ = 10846976000.

The previous prime is 41233052011. The next prime is 41233052083. The reversal of 41233052040 is 4025033214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41233052040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3399667 + ... + 3411773.

It is an arithmetic number, because the mean of its divisors is an integer number (979522065).

Almost surely, 241233052040 is an apocalyptic number.

41233052040 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 41233052040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62689412160).

41233052040 is an abundant number, since it is smaller than the sum of its proper divisors (84145772280).

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

41233052040 is a wasteful number, since it uses less digits than its factorization.

41233052040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12503 (or 12499 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 41233052040 its reverse (4025033214), we get a palindrome (45258085254).

The spelling of 41233052040 in words is "forty-one billion, two hundred thirty-three million, fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 281 303 404 505 562 606 808 843 1010 1124 1212 1405 1515 1686 2020 2248 2424 2810 3030 3372 4040 4215 5620 6060 6744 8430 11240 12107 12120 16860 24214 28381 33720 36321 48428 56762 60535 72642 85143 96856 113524 121070 141905 145284 170286 181605 227048 242140 283810 290568 340572 363210 425715 484280 567620 681144 726420 851430 1135240 1222807 1452840 1702860 2445614 3402067 3405720 3668421 4891228 6114035 6804134 7336842 9782456 10206201 12228070 13608268 14673684 17010335 18342105 20412402 24456140 27216536 29347368 34020670 36684210 40824804 48912280 51031005 68041340 73368420 81649608 102062010 136082680 146736840 204124020 343608767 408248040 687217534 1030826301 1374435068 1718043835 2061652602 2748870136 3436087670 4123305204 5154131505 6872175340 8246610408 10308263010 13744350680 20616526020 41233052040