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16144040514 = 23717531812357
BaseRepresentation
bin11110000100100001…
…01000001001000010
31112200002212020020110
433002100220021002
5231030333244024
611225542452150
71111031036340
oct170220501102
945602766213
1016144040514
116934987648
123166734056
1316a38796c4
14ad2148990
15647499629
hex3c2428242

16144040514 has 128 divisors (see below), whose sum is σ = 40045404672. Its totient is φ = 4234014720.

The previous prime is 16144040477. The next prime is 16144040519. The reversal of 16144040514 is 41504044161.

It is not an unprimeable number, because it can be changed into a prime (16144040519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6848224 + ... + 6850580.

It is an arithmetic number, because the mean of its divisors is an integer number (312854724).

Almost surely, 216144040514 is an apocalyptic number.

16144040514 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 16144040514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20022702336).

16144040514 is an abundant number, since it is smaller than the sum of its proper divisors (23901364158).

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

16144040514 is a wasteful number, since it uses less digits than its factorization.

16144040514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620.

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 16144040514 its reverse (41504044161), we get a palindrome (57648084675).

The spelling of 16144040514 in words is "sixteen billion, one hundred forty-four million, forty thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 53 102 106 119 159 181 238 318 357 362 371 543 714 742 901 1086 1113 1267 1802 2226 2357 2534 2703 3077 3801 4714 5406 6154 6307 7071 7602 9231 9593 12614 14142 16499 18462 18921 19186 21539 28779 32998 37842 40069 43078 49497 57558 64617 67151 80138 98994 120207 124921 129234 134302 163081 201453 240414 249842 280483 326162 374763 402906 426617 489243 560966 749526 841449 853234 874447 978486 1141567 1279851 1682898 1748894 2123657 2283134 2559702 2623341 2986319 3424701 4247314 5246682 5972638 6370971 6849402 7252489 8958957 12741942 14504978 14865599 17917914 21757467 22610701 29731198 43514934 44596797 45221402 50767423 67832103 89193594 101534846 135664206 152302269 158274907 304604538 316549814 384381917 474824721 768763834 949649442 1153145751 2306291502 2690673419 5381346838 8072020257 16144040514