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16144264290 = 23571110367853
BaseRepresentation
bin11110000100100010…
…11110110001100010
31112200010021121012110
433002101132301202
5231030412424130
611225551340150
71111032660630
oct170221366142
945603247173
1016144264290
11693501a790
123166821656
1316a392750b
14ad21a6350
156474e0ab0
hex3c245ec62

16144264290 has 128 divisors (see below), whose sum is σ = 48776712192. Its totient is φ = 3322033920.

The previous prime is 16144264267. The next prime is 16144264303. The reversal of 16144264290 is 9246244161.

16144264290 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 204004 + ... + 271856.

It is an arithmetic number, because the mean of its divisors is an integer number (381068064).

Almost surely, 216144264290 is an apocalyptic number.

16144264290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16144264290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24388356096).

16144264290 is an abundant number, since it is smaller than the sum of its proper divisors (32632447902).

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

16144264290 is a wasteful number, since it uses less digits than its factorization.

16144264290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67984.

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 16144264290 in words is "sixteen billion, one hundred forty-four million, two hundred sixty-four thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 103 105 110 154 165 206 210 231 309 330 385 462 515 618 721 770 1030 1133 1155 1442 1545 2163 2266 2310 3090 3399 3605 4326 5665 6798 7210 7931 10815 11330 15862 16995 21630 23793 33990 39655 47586 67853 79310 118965 135706 203559 237930 339265 407118 474971 678530 746383 949942 1017795 1424913 1492766 2035590 2239149 2374855 2849826 3731915 4478298 4749710 5224681 6988859 7124565 7463830 10449362 11195745 13977718 14249130 15674043 20966577 22391490 26123405 31348086 34944295 41933154 48922013 52246810 69888590 76877449 78370215 97844026 104832885 146766039 153754898 156740430 209665770 230632347 244610065 293532078 384387245 461264694 489220130 538142143 733830195 768774490 1076284286 1153161735 1467660390 1614426429 2306323470 2690710715 3228852858 5381421430 8072132145 16144264290