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14014340124432 = 24317471732112217
BaseRepresentation
bin1100101111101111011111…
…0000111100111100010000
31211121202110110101202100020
43023323313300330330100
53314102332032440212
645450033213423440
72644334261402364
oct313736760747420
954552413352306
1014014340124432
1145134a271339a
1216a40a619ab80
137a8714b6bc8b
14366424ba12a4
15194829d18d8c
hexcbef7c3cf10

14014340124432 has 160 divisors (see below), whose sum is σ = 39375258250752. Its totient is φ = 4278234365952.

The previous prime is 14014340124401. The next prime is 14014340124437. The reversal of 14014340124432 is 23442104341041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14014340124393 and 14014340124402.

It is not an unprimeable number, because it can be changed into a prime (14014340124437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5578788 + ... + 7691004.

Almost surely, 214014340124432 is an apocalyptic number.

14014340124432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14014340124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19687629125376).

14014340124432 is an abundant number, since it is smaller than the sum of its proper divisors (25360918126320).

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

14014340124432 is a wasteful number, since it uses less digits than its factorization.

14014340124432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112465 (or 2112459 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 14014340124432 its reverse (23442104341041), we get a palindrome (37456444465473).

The spelling of 14014340124432 in words is "fourteen trillion, fourteen billion, three hundred forty million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 47 48 51 68 94 102 136 141 173 188 204 272 282 346 376 408 519 564 692 752 799 816 1038 1128 1384 1598 2076 2256 2397 2768 2941 3196 4152 4794 5882 6392 8131 8304 8823 9588 11764 12784 16262 17646 19176 23528 24393 32524 35292 38352 47056 48786 65048 70584 97572 130096 138227 141168 195144 276454 390288 414681 552908 829362 1105816 1658724 2112217 2211632 3317448 4224434 6336651 6634896 8448868 12673302 16897736 25346604 33795472 35907689 50693208 71815378 99274199 101386416 107723067 143630756 198548398 215446134 287261512 297822597 365413541 397096796 430892268 574523024 595645194 730827082 794193592 861784536 1096240623 1191290388 1461654164 1588387184 1687661383 1723569072 2192481246 2382580776 2923308328 3375322766 4384962492 4765161552 5062984149 5846616656 6212030197 6750645532 8769924984 10125968298 12424060394 13501291064 17174436427 17539849968 18636090591 20251936596 24848120788 27002582128 34348872854 37272181182 40503873192 49696241576 51523309281 68697745708 74544362364 81007746384 99392483152 103046618562 137395491416 149088724728 206093237124 274790982832 291965419259 298177449456 412186474248 583930838518 824372948496 875896257777 1167861677036 1751792515554 2335723354072 3503585031108 4671446708144 7007170062216 14014340124432