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335204240204141 = 721115119732087453
BaseRepresentation
bin100110000110111011101000…
…1101010100010000101101101
31121221212012201211201211211122
41030031313101222202011231
5322413441240443013031
63144530411352230325
7130414464362054600
oct11415672152420555
91557765654654748
10335204240204141
1197896357925380
12317189b199b3a5
131150681653b909
145cabd8684a337
1528b46716a047b
hex130ddd1aa216d

335204240204141 has 48 divisors (see below), whose sum is σ = 428414096089728. Its totient is φ = 259336686672000.

The previous prime is 335204240204039. The next prime is 335204240204153. The reversal of 335204240204141 is 141402042402533.

It is a de Polignac number, because none of the positive numbers 2k-335204240204141 is a prime.

It is a super-2 number, since 2×3352042402041412 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335204240204441) 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, 159536771 + ... + 161624223.

It is an arithmetic number, because the mean of its divisors is an integer number (8925293668536).

Almost surely, 2335204240204141 is an apocalyptic number.

It is an amenable number.

335204240204141 is a deficient number, since it is larger than the sum of its proper divisors (93209855885587).

335204240204141 is a wasteful number, since it uses less digits than its factorization.

335204240204141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089602 (or 2089595 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 335204240204141 its reverse (141402042402533), we get a palindrome (476606282606674).

The spelling of 335204240204141 in words is "three hundred thirty-five trillion, two hundred four billion, two hundred forty million, two hundred four thousand, one hundred forty-one".

Divisors: 1 7 11 49 77 151 539 1057 1661 1973 7399 11627 13811 21703 81389 96677 151921 297923 1063447 2085461 2087453 3277153 14598227 14612171 22940071 22961983 102285197 160580497 160733881 315205403 1125137167 2206437821 3467259433 4118544769 15445064747 24270816031 28829813383 45303992459 169895712217 201808693681 317127947213 621900260119 2219895630491 4353301820833 6840902861309 30473112745831 47886320029163 335204240204141