Search a number
-
+
235105054054240 = 2553074786340677
BaseRepresentation
bin110101011101001110101001…
…001110110101011101100000
31010211102211020110011211202111
4311131032221032311131200
5221303430122314213430
62152005434254125104
7100343531260343536
oct6535165116653540
91124384213154674
10235105054054240
1168a03547923797
1222450b26ab0794
13a1254083a8256
14420b206b0a156
151c2a94e356c2a
hexd5d3a93b5760

235105054054240 has 48 divisors (see below), whose sum is σ = 557244927095472. Its totient is φ = 93735695798784.

The previous prime is 235105054054231. The next prime is 235105054054259. The reversal of 235105054054240 is 42450450501532.

It is a super-2 number, since 2×2351050540542402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 235105054054193 and 235105054054202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2393121219 + ... + 2393219458.

It is an arithmetic number, because the mean of its divisors is an integer number (11609269314489).

Almost surely, 2235105054054240 is an apocalyptic number.

235105054054240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235105054054240 is an abundant number, since it is smaller than the sum of its proper divisors (322139873041232).

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

235105054054240 is a wasteful number, since it uses less digits than its factorization.

235105054054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786340999 (or 4786340991 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 235105054054240 in words is "two hundred thirty-five trillion, one hundred five billion, fifty-four million, fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 307 614 1228 1535 2456 3070 4912 6140 9824 12280 24560 49120 4786340677 9572681354 19145362708 23931703385 38290725416 47863406770 76581450832 95726813540 153162901664 191453627080 382907254160 765814508320 1469406587839 2938813175678 5877626351356 7347032939195 11755252702712 14694065878390 23510505405424 29388131756780 47021010810848 58776263513560 117552527027120 235105054054240