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1410424422024 = 233178940139679
BaseRepresentation
bin10100100001100011110…
…110001011111010001000
311222211112220101022011110
4110201203312023322020
5141102022123001044
62555535014130320
7203620426531002
oct24414366137210
94884486338143
101410424422024
114a41808a8902
121a94243509a0
13a3005506a27
144c39cc8d372
1526a4d4076b9
hex14863d8be88

1410424422024 has 128 divisors (see below), whose sum is σ = 3776756544000. Its totient is φ = 437360123904.

The previous prime is 1410424421993. The next prime is 1410424422047. The reversal of 1410424422024 is 4202244240141.

It is a junction number, because it is equal to n+sod(n) for n = 1410424421982 and 1410424422000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 145715217 + ... + 145724895.

It is an arithmetic number, because the mean of its divisors is an integer number (29505910500).

Almost surely, 21410424422024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410424422024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888378272000).

1410424422024 is an abundant number, since it is smaller than the sum of its proper divisors (2366332121976).

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

1410424422024 is a wasteful number, since it uses less digits than its factorization.

1410424422024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13807 (or 13803 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 1410424422024 its reverse (4202244240141), we get a palindrome (5612668662165).

The spelling of 1410424422024 in words is "one trillion, four hundred ten billion, four hundred twenty-four million, four hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 89 102 136 178 204 267 356 408 534 712 1068 1513 2136 3026 4013 4539 6052 8026 9078 9679 12039 12104 16052 18156 19358 24078 29037 32104 36312 38716 48156 58074 68221 77432 96312 116148 136442 164543 204663 232296 272884 329086 357157 409326 493629 545768 658172 714314 818652 861431 987258 1071471 1316344 1428628 1637304 1722862 1974516 2142942 2584293 2857256 3445724 3949032 4285884 5168586 6071669 6891448 8571768 10337172 12143338 14644327 18215007 20674344 24286676 29288654 36430014 38841827 43932981 48573352 58577308 72860028 77683654 87865962 116525481 117154616 145720056 155367308 175731924 233050962 310734616 351463848 466101924 660311059 932203848 1320622118 1980933177 2641244236 3456922603 3961866354 5282488472 6913845206 7923732708 10370767809 13827690412 15847465416 20741535618 27655380824 41483071236 58767684251 82966142472 117535368502 176303052753 235070737004 352606105506 470141474008 705212211012 1410424422024