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41416661412 = 2232733354119
BaseRepresentation
bin100110100100101000…
…000001100110100100
310221220101202101121200
4212210220001212210
51134310131131122
631005422442500
72664225546000
oct464450014644
9127811671550
1041416661412
11166236977a5
12803a433430
133ba0715959
14200c7b9700
15112606d5ac
hex9a4a019a4

41416661412 has 72 divisors (see below), whose sum is σ = 122089968000. Its totient is φ = 11833328304.

The previous prime is 41416661401. The next prime is 41416661437. The reversal of 41416661412 is 21416661414.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1664712 + ... + 1689407.

It is an arithmetic number, because the mean of its divisors is an integer number (1695694000).

Almost surely, 241416661412 is an apocalyptic number.

41416661412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41416661412 is an abundant number, since it is smaller than the sum of its proper divisors (80673306588).

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

41416661412 is a wasteful number, since it uses less digits than its factorization.

41416661412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354150 (or 3354131 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 41416661412 in words is "forty-one billion, four hundred sixteen million, six hundred sixty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348 3354119 6708238 10062357 13416476 20124714 23478833 30187071 40249428 46957666 60374142 70436499 93915332 120748284 140872998 164351831 211309497 281745996 328703662 422618994 493055493 657407324 845237988 986110986 1150462817 1479166479 1972221972 2300925634 2958332958 3451388451 4601851268 5916665916 6902776902 10354165353 13805553804 20708330706 41416661412