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41034401496 = 23331164726693
BaseRepresentation
bin100110001101110101…
…110100011011011000
310220220202110120121000
4212031311310123120
51133014301321441
630503445345000
72651604441414
oct461565643330
9126822416530
1041034401496
1116447939210
127b52408160
133b3c475c5a
141db3b11d44
1511027112b6
hex98dd746d8

41034401496 has 128 divisors (see below), whose sum is σ = 124543526400. Its totient is φ = 12414983040.

The previous prime is 41034401477. The next prime is 41034401509. The reversal of 41034401496 is 69410443014.

It is a happy number.

It is a super-2 number, since 2×410344014962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41034401496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1523926 + ... + 1550618.

It is an arithmetic number, because the mean of its divisors is an integer number (972996300).

Almost surely, 241034401496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41034401496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62271763200).

41034401496 is an abundant number, since it is smaller than the sum of its proper divisors (83509124904).

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

41034401496 is a wasteful number, since it uses less digits than its factorization.

41034401496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27366 (or 27356 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 41034401496 in words is "forty-one billion, thirty-four million, four hundred one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 647 792 1188 1294 1941 2376 2588 3882 5176 5823 7117 7764 11646 14234 15528 17469 21351 23292 26693 28468 34938 42702 46584 53386 56936 64053 69876 80079 85404 106772 128106 139752 160158 170808 192159 213544 240237 256212 293623 320316 384318 480474 512424 587246 640632 720711 768636 880869 960948 1174492 1441422 1537272 1761738 1921896 2348984 2642607 2882844 3523476 5285214 5765688 7046952 7927821 10570428 15855642 17270371 21140856 31711284 34540742 51811113 63422568 69081484 103622226 138162968 155433339 189974081 207244452 310866678 379948162 414488904 466300017 569922243 621733356 759896324 932600034 1139844486 1243466712 1519792648 1709766729 1865200068 2279688972 3419533458 3730400136 4559377944 5129300187 6839066916 10258600374 13678133832 20517200748 41034401496