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1426121424 = 243371336277
BaseRepresentation
bin101010100000000…
…1110001011010000
310200101111110211000
41111000032023100
510410041341144
6353302422000
750224555260
oct12500161320
93611443730
101426121424
11672010152
12339731900
131995c6240
14d75917a0
1585304769
hex5500e2d0

1426121424 has 160 divisors (see below), whose sum is σ = 5038288640. Its totient is φ = 376109568.

The previous prime is 1426121387. The next prime is 1426121507. The reversal of 1426121424 is 4241216241.

1426121424 is a `hidden beast` number, since 1 + 4 + 2 + 612 + 1 + 42 + 4 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21174 + ... + 57450.

It is an arithmetic number, because the mean of its divisors is an integer number (31489304).

Almost surely, 21426121424 is an apocalyptic number.

1426121424 is a gapful number since it is divisible by the number (14) 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 1426121424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519144320).

1426121424 is an abundant number, since it is smaller than the sum of its proper divisors (3612167216).

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

1426121424 is a wasteful number, since it uses less digits than its factorization.

1426121424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36314 (or 36302 counting only the distinct ones).

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

The square root of 1426121424 is about 37764.0228789254. The cubic root of 1426121424 is about 1125.6036724572.

Adding to 1426121424 its reverse (4241216241), we get a palindrome (5667337665).

The spelling of 1426121424 in words is "one billion, four hundred twenty-six million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 19656 36277 39312 72554 108831 145108 217662 253939 290216 326493 435324 471601 507878 580432 652986 761817 870648 943202 979479 1015756 1305972 1414803 1523634 1741296 1886404 1958958 2031512 2285451 2611944 2829606 3047268 3301207 3772808 3917916 4063024 4244409 4570902 5223888 5659212 6094536 6602414 6856353 7545616 7835832 8488818 9141804 9903621 11318424 12189072 12733227 13204828 13712706 15671664 16977636 18283608 19807242 22636848 25466454 26409656 27425412 29710863 33955272 36567216 39614484 50932908 52819312 54850824 59421726 67910544 79228968 89132589 101865816 109701648 118843452 158457936 178265178 203731632 237686904 356530356 475373808 713060712 1426121424