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14910491414 = 27131931367379
BaseRepresentation
bin11011110001011110…
…00000101100010110
31102111010201102222202
431320233000230112
5221014041211124
610503315324502
71035332041310
oct157057005426
942433642882
1014910491414
116361646985
122a815b0732
1315381399b0
14a163a47b0
155c40335ae
hex378bc0b16

14910491414 has 128 divisors (see below), whose sum is σ = 30071193600. Its totient is φ = 5378970240.

The previous prime is 14910491413. The next prime is 14910491417. The reversal of 14910491414 is 41419401941.

It is a happy number.

14910491414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14910491413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39341477 + ... + 39341855.

It is an arithmetic number, because the mean of its divisors is an integer number (234931200).

Almost surely, 214910491414 is an apocalyptic number.

14910491414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14910491414 is an abundant number, since it is smaller than the sum of its proper divisors (15160702186).

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

14910491414 is a wasteful number, since it uses less digits than its factorization.

14910491414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818.

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 14910491414 in words is "fourteen billion, nine hundred ten million, four hundred ninety-one thousand, four hundred fourteen".

Divisors: 1 2 7 13 14 19 26 31 38 62 91 133 182 217 247 266 367 379 403 434 494 589 734 758 806 1178 1729 2569 2653 2821 3458 4123 4771 4927 5138 5306 5642 6973 7201 7657 8246 9542 9854 11377 11749 13946 14402 15314 22754 23498 33397 34489 48811 50407 53599 66794 68978 79639 82243 90649 93613 97622 100814 107198 139093 147901 152737 159278 164486 181298 187226 216163 223231 278186 295802 305474 432326 446462 634543 655291 973651 1035307 1069159 1269086 1310582 1513141 1562617 1808209 1947302 2070614 2138318 2642767 2810119 2902003 3026282 3125234 3616418 4311883 5285534 5620238 5804006 8623766 12657463 18499369 19670833 20314021 25314926 30183181 34355971 36998738 39341666 40628042 56054479 60366362 68711942 81925777 112108958 163851554 240491797 392381353 480983594 573480439 784762706 1065035101 1146960878 2130070202 7455245707 14910491414