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1416295104 = 26372345817
BaseRepresentation
bin101010001101010…
…1111001011000000
310122201000020122020
41110122233023000
510400032420404
6352312041440
750045211150
oct12432571300
93581006566
101416295104
11667509524
12336393280
13197565753
14d6154760
1584512ed9
hex546af2c0

1416295104 has 112 divisors (see below), whose sum is σ = 4468904448. Its totient is φ = 387053568.

The previous prime is 1416295099. The next prime is 1416295163. The reversal of 1416295104 is 4015926141.

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

It is a super-2 number, since 2×14162951042 = 4011783643228741632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8004 + ... + 53820.

Almost surely, 21416295104 is an apocalyptic number.

1416295104 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 1416295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234452224).

1416295104 is an abundant number, since it is smaller than the sum of its proper divisors (3052609344).

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

1416295104 is a wasteful number, since it uses less digits than its factorization.

1416295104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45862 (or 45852 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1416295104 is about 37633.6963903361. The cubic root of 1416295104 is about 1123.0124852347.

The spelling of 1416295104 in words is "one billion, four hundred sixteen million, two hundred ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 15456 30912 45817 91634 137451 183268 274902 320719 366536 549804 641438 733072 962157 1053791 1099608 1282876 1466144 1924314 2107582 2199216 2565752 2932288 3161373 3848628 4215164 4398432 5131504 6322746 7376537 7697256 8430328 8796864 10263008 12645492 14753074 15394512 16860656 20526016 22129611 25290984 29506148 30789024 33721312 44259222 50581968 59012296 61578048 67442624 88518444 101163936 118024592 177036888 202327872 236049184 354073776 472098368 708147552 1416295104