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1424020440114 = 2331737241117389
BaseRepresentation
bin10100101110001110001…
…110111000010000110010
312001010122102200120202000
4110232032032320100302
5141312343213040424
63010104100034430
7204611361011466
oct24561616702062
95033572616660
101424020440114
114a9a18461498
121abb99692a16
13a439120ba4c
144cccc8464a6
1527096d3c3c9
hex14b8e3b8432

1424020440114 has 128 divisors (see below), whose sum is σ = 3442819334400. Its totient is φ = 434471869440.

The previous prime is 1424020440113. The next prime is 1424020440121. The reversal of 1424020440114 is 4110440204241.

It is a happy number.

1424020440114 is a `hidden beast` number, since 1 + 4 + 2 + 40 + 204 + 401 + 14 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1424020440113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81883332 + ... + 81900720.

It is an arithmetic number, because the mean of its divisors is an integer number (26897026050).

Almost surely, 21424020440114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424020440114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721409667200).

1424020440114 is an abundant number, since it is smaller than the sum of its proper divisors (2018798894286).

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

1424020440114 is a wasteful number, since it uses less digits than its factorization.

1424020440114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19865 (or 19859 counting only the distinct ones).

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

Adding to 1424020440114 its reverse (4110440204241), we get a palindrome (5534460644355).

The spelling of 1424020440114 in words is "one trillion, four hundred twenty-four billion, twenty million, four hundred forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 102 111 153 222 306 333 459 629 666 918 999 1258 1887 1998 2411 3774 4822 5661 7233 11322 14466 16983 17389 21699 33966 34778 40987 43398 52167 65097 81974 89207 104334 122961 130194 156501 178414 245922 267621 295613 313002 368883 469503 535242 591226 643393 737766 802863 886839 939006 1106649 1286786 1516519 1605726 1773678 1930179 2213298 2408589 2660517 3033038 3860358 4549557 4817178 5321034 5790537 7981551 9099114 10937681 11581074 13648671 15963102 17371611 21875362 27297342 32813043 34743222 40946013 41924879 65626086 81892026 83849758 98439129 125774637 196878258 251549274 295317387 377323911 590634774 712722943 754647822 1131971733 1425445886 1551220523 2138168829 2263943466 3102441046 4276337658 4653661569 6414506487 9307323138 12829012974 13960984707 19243519461 26370748891 27921969414 38487038922 41882954121 52741497782 79112246673 83765908242 158224493346 237336740019 474673480038 712010220057 1424020440114