Search a number
-
+
14040130314042 = 2337611033589453
BaseRepresentation
bin1100110001001111100011…
…1110101101111100111010
31211201020000211012010112000
43030103320332231330322
53320013141330022132
645505540303001430
72646236342400510
oct314237076557472
954636024163460
1014040130314042
11452342759a588
1216a90a3299276
137aac95001bc1
1436779007c4b0
1519533907687c
hexcc4f8fadf3a

14040130314042 has 128 divisors (see below), whose sum is σ = 36277168350720. Its totient is φ = 3941877726720.

The previous prime is 14040130314029. The next prime is 14040130314047. The reversal of 14040130314042 is 24041303104041.

14040130314042 is a `hidden beast` number, since 140 + 40 + 1 + 303 + 140 + 42 = 666.

It is a super-2 number, since 2×140401303140422 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14040130313997 and 14040130314015.

It is not an unprimeable number, because it can be changed into a prime (14040130314047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23524188 + ... + 24113640.

It is an arithmetic number, because the mean of its divisors is an integer number (283415377740).

Almost surely, 214040130314042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14040130314042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18138584175360).

14040130314042 is an abundant number, since it is smaller than the sum of its proper divisors (22237038036678).

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

14040130314042 is a wasteful number, since it uses less digits than its factorization.

14040130314042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590565 (or 590559 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14040130314042 its reverse (24041303104041), we get a palindrome (38081433418083).

The spelling of 14040130314042 in words is "fourteen trillion, forty billion, one hundred thirty million, three hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 122 126 183 189 366 378 427 549 854 1033 1098 1281 1647 2066 2562 3099 3294 3843 6198 7231 7686 9297 11529 14462 18594 21693 23058 27891 43386 55782 63013 65079 126026 130158 189039 195237 378078 390474 441091 567117 589453 882182 1134234 1178906 1323273 1701351 1768359 2646546 3402702 3536718 3969819 4126171 5305077 7939638 8252342 10610154 11909457 12378513 15915231 23818914 24757026 31830462 35956633 37135539 71913266 74271078 107869899 111406617 215739798 222813234 251696431 323609697 503392862 608904949 647219394 755089293 970829091 1217809898 1510178586 1826714847 1941658182 2265267879 3653429694 4262334643 4530535758 5480144541 6795803637 8524669286 10960289082 12787003929 13591607274 16440433623 25574007858 32880867246 37143201889 38361011787 74286403778 76722023574 111429605667 115083035361 222859211334 230166070722 260002413223 334288817001 520004826446 668577634002 780007239669 1002866451003 1560014479338 2005732902006 2340021719007 4680043438014 7020065157021 14040130314042