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41408821272 = 233713171115299
BaseRepresentation
bin100110100100001010…
…000111100000011000
310221212212000001222010
4212210022013200120
51134301124240042
631004542425520
72664102113310
oct464412074030
9127785001863
1041408821272
111661a222345
1280378922a0
133b9bbcc210
14200b738440
15112552059c
hex9a4287818

41408821272 has 128 divisors (see below), whose sum is σ = 134906688000. Its totient is φ = 10278586368.

The previous prime is 41408821261. The next prime is 41408821283. The reversal of 41408821272 is 27212880414.

It is an interprime number because it is at equal distance from previous prime (41408821261) and next prime (41408821283).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 41408821272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520522 + ... + 594777.

It is an arithmetic number, because the mean of its divisors is an integer number (1053958500).

Almost surely, 241408821272 is an apocalyptic number.

41408821272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41408821272 is an abundant number, since it is smaller than the sum of its proper divisors (93497866728).

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

41408821272 is a wasteful number, since it uses less digits than its factorization.

41408821272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115345 (or 1115341 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 41408821272 in words is "forty-one billion, four hundred eight million, eight hundred twenty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 68 78 84 91 102 104 119 136 156 168 182 204 221 238 273 312 357 364 408 442 476 546 663 714 728 884 952 1092 1326 1428 1547 1768 2184 2652 2856 3094 4641 5304 6188 9282 12376 18564 37128 1115299 2230598 3345897 4461196 6691794 7807093 8922392 13383588 14498887 15614186 18960083 23421279 26767176 28997774 31228372 37920166 43496661 46842558 56880249 57995548 62456744 75840332 86993322 93685116 101492209 113760498 115991096 132720581 151680664 173986644 187370232 202984418 227520996 246481079 265441162 304476627 347973288 398161743 405968836 455041992 492962158 530882324 608953254 739443237 796323486 811937672 985924316 1061764648 1217906508 1478886474 1592646972 1725367553 1971848632 2435813016 2957772948 3185293944 3450735106 5176102659 5915545896 6901470212 10352205318 13802940424 20704410636 41408821272