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14201102100432 = 2431394559240677
BaseRepresentation
bin1100111010100111001110…
…1001010110011111010000
31212021121112020000010211110
43032221303221112133100
53330132324114203212
650111521331013320
72663665356116262
oct316516351263720
955247466003743
1014201102100432
114585720a06195
12171432843a240
137c02096aab50
143714a0a77b32
1519960aec0a3c
hexcea73a567d0

14201102100432 has 80 divisors (see below), whose sum is σ = 39508776276480. Its totient is φ = 4369505511936.

The previous prime is 14201102100431. The next prime is 14201102100443. The reversal of 14201102100432 is 23400120110241.

It is a junction number, because it is equal to n+sod(n) for n = 14201102100399 and 14201102100408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14201102100431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58884478 + ... + 59125154.

It is an arithmetic number, because the mean of its divisors is an integer number (493859703456).

Almost surely, 214201102100432 is an apocalyptic number.

14201102100432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14201102100432 is an abundant number, since it is smaller than the sum of its proper divisors (25307674176048).

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

14201102100432 is a wasteful number, since it uses less digits than its factorization.

14201102100432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335260 (or 335254 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14201102100432 its reverse (23400120110241), we get a palindrome (37601222210673).

The spelling of 14201102100432 in words is "fourteen trillion, two hundred one billion, one hundred two million, one hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 94559 189118 240677 283677 378236 481354 567354 722031 756472 962708 1134708 1229267 1444062 1512944 1925416 2269416 2458534 2888124 3128801 3687801 3850832 4538832 4917068 5776248 6257602 7375602 9386403 9834136 11552496 12515204 14751204 18772806 19668272 25030408 29502408 37545612 50060816 59004816 75091224 150182448 22758176443 45516352886 68274529329 91032705772 136549058658 182065411544 273098117316 295856293759 364130823088 546196234632 591712587518 887568881277 1092392469264 1183425175036 1775137762554 2366850350072 3550275525108 4733700700144 7100551050216 14201102100432