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14172065424 = 24331118116477
BaseRepresentation
bin11010011001011100…
…01000111010010000
31100120200020111222000
431030232020322100
5213011022043144
610302140314000
71011124365666
oct151456107220
940520214860
1014172065424
116012841570
1228b6242900
13144b16533a
149862a6c36
1557e2c0769
hex34cb88e90

14172065424 has 160 divisors (see below), whose sum is σ = 44625060480. Its totient is φ = 4270579200.

The previous prime is 14172065423. The next prime is 14172065437. The reversal of 14172065424 is 42456027141.

14172065424 is a `hidden beast` number, since 1 + 4 + 172 + 0 + 65 + 424 = 666.

It is a super-3 number, since 3×141720654243 (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14172065423) 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, 851874 + ... + 868350.

It is an arithmetic number, because the mean of its divisors is an integer number (278906628).

Almost surely, 214172065424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14172065424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22312530240).

14172065424 is an abundant number, since it is smaller than the sum of its proper divisors (30452995056).

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

14172065424 is a wasteful number, since it uses less digits than its factorization.

14172065424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16686 (or 16674 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 14172065424 in words is "fourteen billion, one hundred seventy-two million, sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 181 198 216 264 297 362 396 432 528 543 594 724 792 1086 1188 1448 1584 1629 1991 2172 2376 2896 3258 3982 4344 4752 4887 5973 6516 7964 8688 9774 11946 13032 15928 16477 17919 19548 23892 26064 31856 32954 35838 39096 47784 49431 53757 65908 71676 78192 95568 98862 107514 131816 143352 148293 181247 197724 215028 263632 286704 296586 362494 395448 430056 444879 543741 593172 724988 790896 860112 889758 1087482 1186344 1449976 1631223 1779516 2174964 2372688 2899952 2982337 3262446 3559032 4349928 4893669 5964674 6524892 7118064 8699856 8947011 9787338 11929348 13049784 17894022 19574676 23858696 26099568 26841033 32805707 35788044 39149352 47717392 53682066 65611414 71576088 78298704 80523099 98417121 107364132 131222828 143152176 161046198 196834242 214728264 262445656 295251363 322092396 393668484 429456528 524891312 590502726 644184792 787336968 885754089 1181005452 1288369584 1574673936 1771508178 2362010904 3543016356 4724021808 7086032712 14172065424