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1416375744 = 26378312697
BaseRepresentation
bin101010001101100…
…0010110111000000
310122201011100020220
41110123002313000
510400043010434
6352313503040
750045665230
oct12433026700
93581140226
101416375744
11667564073
12336411a80
13197593374
14d6175cc0
158452bd49
hex546c2dc0

1416375744 has 112 divisors (see below), whose sum is σ = 4334792448. Its totient is φ = 399771648.

The previous prime is 1416375743. The next prime is 1416375749. The reversal of 1416375744 is 4475736141.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×14163757442 = 4012240496383107072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1416375696 and 1416375705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416375743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105204 + ... + 117900.

It is an arithmetic number, because the mean of its divisors is an integer number (38703504).

Almost surely, 21416375744 is an apocalyptic number.

1416375744 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 1416375744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167396224).

1416375744 is an abundant number, since it is smaller than the sum of its proper divisors (2918416704).

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

1416375744 is a wasteful number, since it uses less digits than its factorization.

1416375744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12802 (or 12792 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 1416375744 is about 37634.7677553615. The cubic root of 1416375744 is about 1123.0337985914.

The spelling of 1416375744 in words is "one billion, four hundred sixteen million, three hundred seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 166 168 192 224 249 332 336 448 498 581 664 672 996 1162 1328 1344 1743 1992 2324 2656 3486 3984 4648 5312 6972 7968 9296 12697 13944 15936 18592 25394 27888 37184 38091 50788 55776 76182 88879 101576 111552 152364 177758 203152 266637 304728 355516 406304 533274 609456 711032 812608 1053851 1066548 1218912 1422064 2107702 2133096 2437824 2844128 3161553 4215404 4266192 5688256 6323106 7376957 8430808 8532384 12646212 14753914 16861616 17064768 22130871 25292424 29507828 33723232 44261742 50584848 59015656 67446464 88523484 101169696 118031312 177046968 202339392 236062624 354093936 472125248 708187872 1416375744