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41412046122 = 2336122735531
BaseRepresentation
bin100110100100010110…
…011010110100101010
310221220002001220122000
4212210112122310222
51134302440433442
631005135511430
72664141404226
oct464426326452
9127802056560
1041412046122
1116621025207
128038988576
133b9c78b005
14200bd37786
15112595ad4c
hex9a459ad2a

41412046122 has 64 divisors (see below), whose sum is σ = 93593473920. Its totient is φ = 13569292800.

The previous prime is 41412046103. The next prime is 41412046141. The reversal of 41412046122 is 22164021414.

41412046122 is a `hidden beast` number, since 4 + 1 + 41 + 2 + 0 + 4 + 612 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (41412046103) and next prime (41412046141).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 7484497 + ... + 7490027.

It is an arithmetic number, because the mean of its divisors is an integer number (1462398030).

Almost surely, 241412046122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41412046122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46796736960).

41412046122 is an abundant number, since it is smaller than the sum of its proper divisors (52181427798).

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

41412046122 is a wasteful number, since it uses less digits than its factorization.

41412046122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7876 (or 7870 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 41412046122 its reverse (22164021414), we get a palindrome (63576067536).

The spelling of 41412046122 in words is "forty-one billion, four hundred twelve million, forty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 1098 1647 2273 3294 4546 5531 6819 11062 13638 16593 20457 33186 40914 49779 61371 99558 122742 138653 149337 277306 298674 337391 415959 674782 831918 1012173 1247877 2024346 2495754 3036519 3743631 6073038 7487262 9109557 12571963 18219114 25143926 37715889 75431778 113147667 226295334 339443001 678886002 766889743 1533779486 2300669229 4601338458 6902007687 13804015374 20706023061 41412046122