Search a number
-
+
13141455010416 = 24321912373882913
BaseRepresentation
bin1011111100111011101111…
…0000011111101001110000
31201112022101121001121002100
42333032323300133221300
53210302144440313131
643541033500220400
72524303335346515
oct277167360375160
951468347047070
1013141455010416
114207294835787
121582a9a83a700
13744306b19a05
1433609a9a530c
1517bc8ceb77e6
hexbf3bbc1fa70

13141455010416 has 120 divisors (see below), whose sum is σ = 38744803107920. Its totient is φ = 4146577256448.

The previous prime is 13141455010403. The next prime is 13141455010433. The reversal of 13141455010416 is 61401055414131.

13141455010416 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 145 + 501 + 0 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1442976 + ... + 5325888.

Almost surely, 213141455010416 is an apocalyptic number.

13141455010416 is a gapful number since it is divisible by the number (16) 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 13141455010416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19372401553960).

13141455010416 is an abundant number, since it is smaller than the sum of its proper divisors (25603348097504).

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

13141455010416 is a wasteful number, since it uses less digits than its factorization.

13141455010416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884183 (or 3884174 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 13141455010416 in words is "thirteen trillion, one hundred forty-one billion, four hundred fifty-five million, ten thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1237 1368 2474 2736 3711 4948 7422 9896 11133 14844 19792 22266 23503 29688 44532 47006 59376 70509 89064 94012 141018 178128 188024 211527 282036 376048 423054 564072 846108 1128144 1692216 3384432 3882913 7765826 11648739 15531652 23297478 31063304 34946217 46594956 62126608 69892434 73775347 93189912 139784868 147550694 186379824 221326041 279569736 295101388 442652082 559139472 590202776 663978123 885304164 1180405552 1327956246 1770608328 2655912492 3541216656 4803163381 5311824984 9606326762 10623649968 14409490143 19212653524 28818980286 38425307048 43228470429 57637960572 76850614096 86456940858 91260104239 115275921144 172913881716 182520208478 230551842288 273780312717 345827763432 365040416956 547560625434 691655526864 730080833912 821340938151 1095121250868 1460161667824 1642681876302 2190242501736 3285363752604 4380485003472 6570727505208 13141455010416