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355040112336 = 243713516715731
BaseRepresentation
bin1010010101010100000…
…10100010111011010000
31020221102100121102201020
411022222002202323100
521304110232043321
6431034141435440
734436140106220
oct5125202427320
91227370542636
10355040112336
11127631984348
125898626bb80
1327631b32c10
1413280db6080
15937e7804c6
hex52aa0a2ed0

355040112336 has 160 divisors (see below), whose sum is σ = 1129135730688. Its totient is φ = 93612879360.

The previous prime is 355040112331. The next prime is 355040112353. The reversal of 355040112336 is 633211040553.

It is a junction number, because it is equal to n+sod(n) for n = 355040112297 and 355040112306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355040112331) 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, 22561591 + ... + 22577321.

Almost surely, 2355040112336 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 355040112336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564567865344).

355040112336 is an abundant number, since it is smaller than the sum of its proper divisors (774095618352).

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

355040112336 is a wasteful number, since it uses less digits than its factorization.

355040112336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20929 (or 20923 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 355040112336 its reverse (633211040553), we get a palindrome (988251152889).

The spelling of 355040112336 in words is "three hundred fifty-five billion, forty million, one hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 5167 10334 15501 15731 20668 31002 31462 36169 41336 47193 62004 62924 67171 72338 82672 94386 108507 110117 124008 125848 134342 144676 188772 201513 204503 217014 220234 248016 251696 268684 289352 330351 377544 403026 409006 434028 440468 470197 537368 578704 613509 660702 755088 806052 818012 868056 880936 940394 1074736 1227018 1321404 1410591 1431521 1612104 1636024 1736112 1761872 1880788 2454036 2642808 2821182 2863042 3224208 3272048 3761576 4294563 4908072 5285616 5642364 5726084 7523152 8589126 9816144 11284728 11452168 17178252 22569456 22904336 34356504 68713008 81282077 162564154 243846231 325128308 487692462 568974539 650256616 975384924 1056667001 1137949078 1300513232 1706923617 1950769848 2113334002 2275898156 3170001003 3413847234 3901539696 4226668004 4551796312 6340002006 6827694468 7396669007 8453336008 9103592624 12680004012 13655388936 14793338014 16906672016 22190007021 25360008024 27310777872 29586676028 44380014042 50720016048 59173352056 88760028084 118346704112 177520056168 355040112336