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1444455474 = 2371183139271
BaseRepresentation
bin101011000011000…
…1010010000110010
310201122222221101220
41112012022100302
510424240033344
6355155405510
750536445310
oct12606122062
93648887356
101444455474
116813a2860
123438b3896
131a03452a7
14d9ba50b0
1586c26c19
hex5618a432

1444455474 has 128 divisors (see below), whose sum is σ = 3684925440. Its totient is φ = 366638400.

The previous prime is 1444455457. The next prime is 1444455497. The reversal of 1444455474 is 4745544441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5329959 + ... + 5330229.

It is an arithmetic number, because the mean of its divisors is an integer number (28788480).

Almost surely, 21444455474 is an apocalyptic number.

1444455474 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444455474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842462720).

1444455474 is an abundant number, since it is smaller than the sum of its proper divisors (2240469966).

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

1444455474 is a wasteful number, since it uses less digits than its factorization.

1444455474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516.

The product of its digits is 716800, while the sum is 42.

The square root of 1444455474 is about 38005.9926064298. The cubic root of 1444455474 is about 1130.4066915273.

The spelling of 1444455474 in words is "one billion, four hundred forty-four million, four hundred fifty-five thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 83 139 154 166 231 249 271 278 417 462 498 542 581 813 834 913 973 1162 1529 1626 1743 1826 1897 1946 2739 2919 2981 3058 3486 3794 4587 5478 5691 5838 5962 6391 8943 9174 10703 11382 11537 12782 17886 19173 20867 21406 22493 23074 32109 34611 37669 38346 41734 44986 62601 64218 67479 69222 75338 80759 113007 125202 126907 134958 157451 161518 226014 242277 247423 253814 263683 314902 380721 414359 472353 484554 494846 527366 742269 761442 791049 828718 888349 944706 1243077 1484538 1582098 1731961 1776698 2486154 2665047 2900513 3126527 3463922 5195883 5330094 5801026 6253054 8701539 9379581 10391766 17403078 18759162 21885689 34391797 43771378 65657067 68783594 103175391 131314134 206350782 240742579 481485158 722227737 1444455474