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41346357012 = 22343141100403
BaseRepresentation
bin100110100000011011…
…110101011100010100
310221201111110120010000
4212200123311130110
51134134131411022
630554431531300
72662413143622
oct464033653424
9127644416100
1041346357012
1116597a38a94
12801a989b30
133b8bc9b70c
142003318512
15111ecd26ac
hex9a06f5714

41346357012 has 120 divisors (see below), whose sum is σ = 114296700672. Its totient is φ = 13012099200.

The previous prime is 41346356951. The next prime is 41346357071. The reversal of 41346357012 is 21075364314.

41346357012 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 635 + 7 + 0 + 12 = 666.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 361603 + ... + 462005.

Almost surely, 241346357012 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 41346357012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57148350336).

41346357012 is an abundant number, since it is smaller than the sum of its proper divisors (72950343660).

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

41346357012 is a wasteful number, since it uses less digits than its factorization.

41346357012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100491 (or 100480 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 41346357012 in words is "forty-one billion, three hundred forty-six million, three hundred fifty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 41 54 62 81 82 93 108 123 124 162 164 186 246 279 324 369 372 492 558 738 837 1107 1116 1271 1476 1674 2214 2511 2542 3321 3348 3813 4428 5022 5084 6642 7626 10044 11439 13284 15252 22878 34317 45756 68634 100403 102951 137268 200806 205902 301209 401612 411804 602418 903627 1204836 1807254 2710881 3112493 3614508 4116523 5421762 6224986 8132643 8233046 9337479 10843524 12349569 12449972 16265286 16466092 18674958 24699138 28012437 32530572 37048707 37349916 49398276 56024874 74097414 84037311 111146121 112049748 127612213 148194828 168074622 222292242 252111933 255224426 333438363 336149244 382836639 444584484 504223866 510448852 666876726 765673278 1008447732 1148509917 1333753452 1531346556 2297019834 3445529751 4594039668 6891059502 10336589253 13782119004 20673178506 41346357012