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1060222141440 = 21036572111731
BaseRepresentation
bin11110110110110100010…
…10100000010000000000
310202100121201000012000000
433123122022200100000
5114332313332011230
62131020452000000
7136412202336300
oct17333212402000
93670551005000
101060222141440
11379701839120
1215158a300000
1378c94a63067
143945a603600
151c8a3748b60
hexf6da2a0400

1060222141440 has 3696 divisors, whose sum is σ = 5288930256384. Its totient is φ = 200658124800.

The previous prime is 1060222141351. The next prime is 1060222141469. The reversal of 1060222141440 is 441412220601.

1060222141440 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 2 + 2 + 214 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a super-2 number, since 2×10602221414402 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 34200714225 + ... + 34200714255.

Almost surely, 21060222141440 is an apocalyptic number.

1060222141440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1060222141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644465128192).

1060222141440 is an abundant number, since it is smaller than the sum of its proper divisors (4228708114944).

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

1060222141440 is a wasteful number, since it uses less digits than its factorization.

1060222141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

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

The spelling of 1060222141440 in words is "one trillion, sixty billion, two hundred twenty-two million, one hundred forty-one thousand, four hundred forty".