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14100533202402 = 23223732113220807
BaseRepresentation
bin1100110100110000100101…
…0001011100110111100010
31211220222221101212210012100
43031030021101130313202
53322010342444434102
645553410122311230
72653505233440033
oct315141121346742
954828841783170
1014100533202402
114547003435629
1216b8940058516
137b38a007226a
1436a680248a8a
15196bc1d5da1c
hexcd30945cde2

14100533202402 has 96 divisors (see below), whose sum is σ = 32331611789568. Its totient is φ = 4432116953088.

The previous prime is 14100533202391. The next prime is 14100533202407. The reversal of 14100533202402 is 20420233500141.

14100533202402 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 0 + 53 + 3 + 202 + 402 = 666.

It is not an unprimeable number, because it can be changed into a prime (14100533202407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63748683 + ... + 63969489.

It is an arithmetic number, because the mean of its divisors is an integer number (336787622808).

Almost surely, 214100533202402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14100533202402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16165805894784).

14100533202402 is an abundant number, since it is smaller than the sum of its proper divisors (18231078587166).

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

14100533202402 is a wasteful number, since it uses less digits than its factorization.

14100533202402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223024 (or 223021 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14100533202402 its reverse (20420233500141), we get a palindrome (34520766702543).

The spelling of 14100533202402 in words is "fourteen trillion, one hundred billion, five hundred thirty-three million, two hundred two thousand, four hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 73 138 146 207 219 414 438 657 1314 1679 2113 3358 4226 5037 6339 10074 12678 15111 19017 30222 38034 48599 97198 145797 154249 220807 291594 308498 437391 441614 462747 662421 874782 925494 1324842 1388241 1987263 2776482 3547727 3974526 5078561 7095454 10157122 10643181 15235683 16118911 21286362 30471366 31929543 32237822 45707049 48356733 63859086 91414098 96713466 145070199 290140398 370734953 466565191 741469906 933130382 1112204859 1399695573 2224409718 2799391146 3336614577 4199086719 6673229154 8398173438 10730999393 21461998786 32192998179 34059258943 64385996358 68118517886 96578994537 102177776829 193157989074 204355553658 306533330487 613066660974 783362955689 1566725911378 2350088867067 4700177734134 7050266601201 14100533202402