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42211444104 = 23324723715261
BaseRepresentation
bin100111010011111111…
…111000010110001000
311000221210021112111200
4213103333320112020
51142422112202404
631220333424200
73023016232464
oct472377702610
9130853245450
1042211444104
11169a12947a5
12822063b060
133c9928cb7b
1420861874a4
151170c14839
hex9d3ff8588

42211444104 has 96 divisors (see below), whose sum is σ = 116826503040. Its totient is φ = 13762684800.

The previous prime is 42211444103. The next prime is 42211444109. The reversal of 42211444104 is 40144411224.

It is a happy number.

42211444104 is a `hidden beast` number, since 4 + 2 + 211 + 4 + 441 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (42211444103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8020834 + ... + 8026094.

It is an arithmetic number, because the mean of its divisors is an integer number (1216942740).

Almost surely, 242211444104 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 42211444104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58413251520).

42211444104 is an abundant number, since it is smaller than the sum of its proper divisors (74615058936).

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

42211444104 is a wasteful number, since it uses less digits than its factorization.

42211444104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7691 (or 7684 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 42211444104 its reverse (40144411224), we get a palindrome (82355855328).

The spelling of 42211444104 in words is "forty-two billion, two hundred eleven million, four hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 2371 3384 4742 5261 7113 9484 10522 14226 15783 18968 21044 21339 28452 31566 42088 42678 47349 56904 63132 85356 94698 111437 126264 170712 189396 222874 247267 334311 378792 445748 494534 668622 741801 891496 989068 1002933 1337244 1483602 1978136 2005866 2225403 2674488 2967204 4011732 4450806 5934408 8023464 8901612 12473831 17803224 24947662 37421493 49895324 74842986 99790648 112264479 149685972 224528958 299371944 449057916 586270057 898115832 1172540114 1758810171 2345080228 3517620342 4690160456 5276430513 7035240684 10552861026 14070481368 21105722052 42211444104