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41013333240 = 23351135388019
BaseRepresentation
bin100110001100100101…
…011100110011111000
310220212021211012101020
4212030211130303320
51132443403130430
630501414022440
72651230403055
oct461445346370
9126767735336
1041013333240
1116436a59330
127b47347a20
133b37caa529
141db0dca02c
15110094db10
hex98c95ccf8

41013333240 has 128 divisors (see below), whose sum is σ = 134607225600. Its totient is φ = 9914347520.

The previous prime is 41013333191. The next prime is 41013333247. The reversal of 41013333240 is 4233331014.

41013333240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 41013333240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41013333247) 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, 421951 + ... + 509969.

It is an arithmetic number, because the mean of its divisors is an integer number (1051618950).

Almost surely, 241013333240 is an apocalyptic number.

41013333240 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 41013333240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67303612800).

41013333240 is an abundant number, since it is smaller than the sum of its proper divisors (93593892360).

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

41013333240 is a wasteful number, since it uses less digits than its factorization.

41013333240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88397 (or 88393 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 41013333240 its reverse (4233331014), we get a palindrome (45246664254).

The spelling of 41013333240 in words is "forty-one billion, thirteen million, three hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 353 440 660 706 1059 1320 1412 1765 2118 2824 3530 3883 4236 5295 7060 7766 8472 10590 11649 14120 15532 19415 21180 23298 31064 38830 42360 46596 58245 77660 88019 93192 116490 155320 176038 232980 264057 352076 440095 465960 528114 704152 880190 968209 1056228 1320285 1760380 1936418 2112456 2640570 2904627 3520760 3872836 4841045 5281140 5809254 7745672 9682090 10562280 11618508 14523135 19364180 23237016 29046270 31070707 38728360 58092540 62141414 93212121 116185080 124282828 155353535 186424242 248565656 310707070 341777777 372848484 466060605 621414140 683555554 745696968 932121210 1025333331 1242828280 1367111108 1708888885 1864242420 2050666662 2734222216 3417777770 3728484840 4101333324 5126666655 6835555540 8202666648 10253333310 13671111080 20506666620 41013333240