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14258603744 = 257119775923
BaseRepresentation
bin11010100011110000…
…10000011011100000
31100210201002010012222
431101320100123200
5213200200304434
610314511210212
71013225063210
oct152170203340
940721063188
1014258603744
116057679040
12291b216968
131463074748
14993992240
15586bb672e
hex351e106e0

14258603744 has 96 divisors (see below), whose sum is σ = 35040128256. Its totient is φ = 5548677120.

The previous prime is 14258603741. The next prime is 14258603773. The reversal of 14258603744 is 44730685241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 14258603695 and 14258603704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14258603741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2404367 + ... + 2410289.

It is an arithmetic number, because the mean of its divisors is an integer number (365001336).

Almost surely, 214258603744 is an apocalyptic number.

14258603744 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 14258603744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520064128).

14258603744 is an abundant number, since it is smaller than the sum of its proper divisors (20781524512).

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

14258603744 is a wasteful number, since it uses less digits than its factorization.

14258603744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928 (or 6920 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 14258603744 in words is "fourteen billion, two hundred fifty-eight million, six hundred three thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 977 1232 1954 2464 3908 5923 6839 7816 10747 11846 13678 15632 21494 23692 27356 31264 41461 42988 47384 54712 65153 75229 82922 85976 94768 109424 130306 150458 165844 171952 189536 218848 260612 300916 331688 343904 456071 521224 601832 663376 912142 1042448 1203664 1326752 1824284 2084896 2407328 3648568 5786771 7297136 11573542 14594272 23147084 40507397 46294168 63654481 81014794 92588336 127308962 162029588 185176672 254617924 324059176 445581367 509235848 648118352 891162734 1018471696 1296236704 1782325468 2036943392 3564650936 7129301872 14258603744