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12141040411430 = 2574325116069993
BaseRepresentation
bin1011000010101100111001…
…1001101010001100100110
31120222200010222111100201022
42300223032121222030212
53042404322321131210
641453303355331142
72362106204513210
oct260531631521446
946880128440638
1012141040411430
113960a938834a7
121441021a50ab2
136a0b8399a938
142dd8b54775b0
15160c3a157155
hexb0ace66a326

12141040411430 has 64 divisors (see below), whose sum is σ = 25658509459968. Its totient is φ = 4049637984000.

The previous prime is 12141040411397. The next prime is 12141040411471. The reversal of 12141040411430 is 3411404014121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12141040411430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7279487 + ... + 8790506.

It is an arithmetic number, because the mean of its divisors is an integer number (400914210312).

Almost surely, 212141040411430 is an apocalyptic number.

12141040411430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12141040411430 is an abundant number, since it is smaller than the sum of its proper divisors (13517469048538).

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

12141040411430 is a wasteful number, since it uses less digits than its factorization.

12141040411430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16070301.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 12141040411430 its reverse (3411404014121), we get a palindrome (15552444425551).

The spelling of 12141040411430 in words is "twelve trillion, one hundred forty-one billion, forty million, four hundred eleven thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 43 70 86 215 251 301 430 502 602 1255 1505 1757 2510 3010 3514 8785 10793 17570 21586 53965 75551 107930 151102 377755 755510 16069993 32139986 80349965 112489951 160699930 224979902 562449755 691009699 1124899510 1382019398 3455048495 4033568243 4837067893 6910096990 8067136486 9674135786 20167841215 24185339465 28234977701 40335682430 48370678930 56469955402 141174888505 173443434449 282349777010 346886868898 867217172245 1214104041143 1734434344490 2428208082286 6070520205715 12141040411430