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41434220240 = 245780599181
BaseRepresentation
bin100110100101101011…
…000000011011010000
310221221121210110210122
4212211223000123100
51134324130021430
631011251045412
72664531026630
oct464553003320
9127847713718
1041434220240
111663259aa26
1280442a0868
133ba4252baa
142010c6a6c0
15112788aee5
hex9a5ac06d0

41434220240 has 80 divisors (see below), whose sum is σ = 110122296960. Its totient is φ = 14202708480.

The previous prime is 41434220237. The next prime is 41434220287. The reversal of 41434220240 is 4202243414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4508450 + ... + 4517630.

It is an arithmetic number, because the mean of its divisors is an integer number (1376528712).

Almost surely, 241434220240 is an apocalyptic number.

41434220240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41434220240 is an abundant number, since it is smaller than the sum of its proper divisors (68688076720).

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

41434220240 is a wasteful number, since it uses less digits than its factorization.

41434220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17260 (or 17254 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 41434220240 its reverse (4202243414), we get a palindrome (45636463654).

The spelling of 41434220240 in words is "forty-one billion, four hundred thirty-four million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 8059 9181 16118 18362 32236 36724 40295 45905 56413 64267 64472 73448 80590 91810 112826 128534 128944 146896 161180 183620 225652 257068 282065 321335 322360 367240 451304 514136 564130 642670 644720 734480 902608 1028272 1128260 1285340 2256520 2570680 4513040 5141360 73989679 147979358 295958716 369948395 517927753 591917432 739896790 1035855506 1183834864 1479793580 2071711012 2589638765 2959587160 4143422024 5179277530 5919174320 8286844048 10358555060 20717110120 41434220240