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235545414140 = 225192921374357
BaseRepresentation
bin1101101101011110011…
…0011100100111111100
3211111222120020210222102
43123113212130213330
512324344111223030
6300112535404232
723006014662011
oct3332746344774
9744876223872
10235545414140
1190992277a23
1239797823678
131929a538bca
14b586c05708
1561d8d3dc45
hex36d799c9fc

235545414140 has 48 divisors (see below), whose sum is σ = 538633821600. Its totient is φ = 86181403392.

The previous prime is 235545414119. The next prime is 235545414173. The reversal of 235545414140 is 41414545532.

It is a super-2 number, since 2×2355454141402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 235545414094 and 235545414103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10676159 + ... + 10698198.

It is an arithmetic number, because the mean of its divisors is an integer number (11221537950).

Almost surely, 2235545414140 is an apocalyptic number.

235545414140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235545414140 is an abundant number, since it is smaller than the sum of its proper divisors (303088407460).

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

235545414140 is a wasteful number, since it uses less digits than its factorization.

235545414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21374414 (or 21374412 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

Adding to 235545414140 its reverse (41414545532), we get a palindrome (276959959672).

The spelling of 235545414140 in words is "two hundred thirty-five billion, five hundred forty-five million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 1102 2204 2755 5510 11020 21374357 42748714 85497428 106871785 213743570 406112783 427487140 619856353 812225566 1239712706 1624451132 2030563915 2479425412 3099281765 4061127830 6198563530 8122255660 11777270707 12397127060 23554541414 47109082828 58886353535 117772707070 235545414140