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41321390616 = 233211212313853
BaseRepresentation
bin100110011110111100…
…100110001000011000
310221122202111010122200
4212132330212020120
51134111233444431
630552140450200
72661661011402
oct463674461030
9127582433580
1041321390616
1116584936400
128012549960
133b86a698bc
141dddc99b72
15111c9eeee6
hex99ef26218

41321390616 has 144 divisors (see below), whose sum is σ = 123142699680. Its totient is φ = 12508214400.

The previous prime is 41321390611. The next prime is 41321390681. The reversal of 41321390616 is 61609312314.

41321390616 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 1 + 39 + 0 + 616 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41321390611) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 10722546 + ... + 10726398.

Almost surely, 241321390616 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 41321390616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61571349840).

41321390616 is an abundant number, since it is smaller than the sum of its proper divisors (81821309064).

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

41321390616 is a wasteful number, since it uses less digits than its factorization.

41321390616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 41321390616 in words is "forty-one billion, three hundred twenty-one million, three hundred ninety thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1231 1452 2178 2462 2904 3693 3853 4356 4924 7386 7706 8712 9848 11079 11559 13541 14772 15412 22158 23118 27082 29544 30824 34677 40623 42383 44316 46236 54164 69354 81246 84766 88632 92472 108328 121869 127149 138708 148951 162492 169532 243738 254298 277416 297902 324984 339064 381447 446853 466213 487476 508596 595804 762894 893706 932426 974952 1017192 1191608 1340559 1398639 1525788 1787412 1864852 2681118 2797278 3051576 3574824 3729704 4195917 4743043 5362236 5594556 8391834 9486086 10724472 11189112 14229129 16783668 18972172 28458258 33567336 37944344 42687387 52173473 56916516 85374774 104346946 113833032 156520419 170749548 208693892 313040838 341499096 417387784 469561257 573908203 626081676 939122514 1147816406 1252163352 1721724609 1878245028 2295632812 3443449218 3756490056 4591265624 5165173827 6886898436 10330347654 13773796872 20660695308 41321390616