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355240420431 = 31331607348383
BaseRepresentation
bin1010010101101011111…
…10101010010001001111
31020221221022112010202120
411022311332222101033
521310013021423211
6431110055024023
734444121515641
oct5126576522117
91227838463676
10355240420431
11127724a57826
1258a2136b013
1327664497510
141329d838891
15939214ad06
hex52b5faa44f

355240420431 has 32 divisors (see below), whose sum is σ = 526640873472. Its totient is φ = 211518362880.

The previous prime is 355240420411. The next prime is 355240420441. The reversal of 355240420431 is 134024042553.

It is not a de Polignac number, because 355240420431 - 214 = 355240404047 is a prime.

It is a super-2 number, since 2×3552404204312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 355240420392 and 355240420401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355240420411) 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, 7318066 + ... + 7366448.

It is an arithmetic number, because the mean of its divisors is an integer number (16457527296).

Almost surely, 2355240420431 is an apocalyptic number.

355240420431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

355240420431 is a deficient number, since it is larger than the sum of its proper divisors (171400453041).

355240420431 is a wasteful number, since it uses less digits than its factorization.

355240420431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54503.

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 355240420431 its reverse (134024042553), we get a palindrome (489264462984).

The spelling of 355240420431 in words is "three hundred fifty-five billion, two hundred forty million, four hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 13 31 39 93 403 1209 6073 18219 48383 78949 145149 188263 236847 564789 628979 1499873 1886937 2447419 4499619 7342257 19498349 58495047 293829959 881489877 3819789467 9108728729 11459368401 27326186187 118413473477 355240420431