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4120242211441 = 478310119154751
BaseRepresentation
bin111011111101010001100…
…100101100101001110001
3112120220001202121221001201
4323331101210230221301
51020001224001231231
612432451345531201
7603451304641246
oct73752144545161
915526052557051
104120242211441
11134942634a834
12566644943b01
1323b6ca229385
141035c68d55cd
157229c357161
hex3bf5192ca71

4120242211441 has 32 divisors (see below), whose sum is σ = 4323365093376. Its totient is φ = 3923823000000.

The previous prime is 4120242211429. The next prime is 4120242211451. The reversal of 4120242211441 is 1441122420214.

It is a cyclic number.

It is not a de Polignac number, because 4120242211441 - 213 = 4120242203249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4120242211451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75226816 + ... + 75281566.

It is an arithmetic number, because the mean of its divisors is an integer number (135105159168).

Almost surely, 24120242211441 is an apocalyptic number.

It is an amenable number.

4120242211441 is a deficient number, since it is larger than the sum of its proper divisors (203122881935).

4120242211441 is a wasteful number, since it uses less digits than its factorization.

4120242211441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55173.

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 4120242211441 its reverse (1441122420214), we get a palindrome (5561364631655).

The spelling of 4120242211441 in words is "four trillion, one hundred twenty billion, two hundred forty-two million, two hundred eleven thousand, four hundred forty-one".

Divisors: 1 47 83 101 191 3901 4747 8383 8977 15853 19291 54751 394001 745091 906677 1601153 2573297 4544333 5529851 10457441 75254191 213583651 259902997 458977633 491499727 867967603 1056201541 21571948751 40794477341 49641472427 87664727903 4120242211441