Search a number
-
+
14021410332033 = 3313109933739251
BaseRepresentation
bin1100110000001001110100…
…1011101001110110000001
31211122102201012020111212000
43030002131023221312001
53314211322021111113
645453202540454213
72645004422231466
oct314023513516601
954572635214760
1014021410332033
1145164a065aa75
1216a5539b4a369
137a92a0887080
143668d5b9566d
15194ae08a0373
hexcc09d2e9d81

14021410332033 has 64 divisors (see below), whose sum is σ = 22578566841600. Its totient is φ = 8548265664000.

The previous prime is 14021410332011. The next prime is 14021410332077. The reversal of 14021410332033 is 33023301412041.

It is a happy number.

14021410332033 is a `hidden beast` number, since 1 + 40 + 2 + 1 + 410 + 3 + 3 + 203 + 3 = 666.

It is not a de Polignac number, because 14021410332033 - 29 = 14021410331521 is a prime.

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 = 14021410331988 and 14021410332006.

It is not an unprimeable number, because it can be changed into a prime (14021410332133) 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, 357204658 + ... + 357243908.

It is an arithmetic number, because the mean of its divisors is an integer number (352790106900).

Almost surely, 214021410332033 is an apocalyptic number.

14021410332033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14021410332033 is a deficient number, since it is larger than the sum of its proper divisors (8557156509567).

14021410332033 is a wasteful number, since it uses less digits than its factorization.

14021410332033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48719 (or 48713 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 14021410332033 its reverse (33023301412041), we get a palindrome (47044711744074).

The spelling of 14021410332033 in words is "fourteen trillion, twenty-one billion, four hundred ten million, three hundred thirty-two thousand, thirty-three".

Divisors: 1 3 9 13 27 39 109 117 327 351 981 1417 2943 4251 9337 12753 28011 38259 39251 84033 117753 121381 252099 353259 364143 510263 1017733 1059777 1092429 1530789 3053199 3277287 4278359 4592367 9159597 12835077 13230529 13777101 27478791 38505231 39691587 55618667 115515693 119074761 166856001 357224283 366486587 500568003 1099459761 1501704009 3298379283 4764325631 9895137849 14292976893 39947037983 42878930679 119841113949 128636792037 359523341847 519311493779 1078570025541 1557934481337 4673803444011 14021410332033