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235540209040 = 24543269331769
BaseRepresentation
bin1101101101011101001…
…0100101110110010000
3211111222012110100220221
43123113102211312100
512324341243142130
6300112232042424
723005622512543
oct3332722456620
9744865410827
10235540209040
119098a342294
1239795b33414
1319299435976
14b58624c85a
1561d866187a
hex36d74a5d90

235540209040 has 160 divisors (see below), whose sum is σ = 564882595200. Its totient is φ = 91287060480.

The previous prime is 235540209013. The next prime is 235540209049. The reversal of 235540209040 is 40902045532.

It is a junction number, because it is equal to n+sod(n) for n = 235540208987 and 235540209005.

It is not an unprimeable number, because it can be changed into a prime (235540209049) 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, 306293776 + ... + 306294544.

It is an arithmetic number, because the mean of its divisors is an integer number (3530516220).

Almost surely, 2235540209040 is an apocalyptic number.

235540209040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235540209040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282441297600).

235540209040 is an abundant number, since it is smaller than the sum of its proper divisors (329342386160).

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

235540209040 is a wasteful number, since it uses less digits than its factorization.

235540209040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 235540209040 in words is "two hundred thirty-five billion, five hundred forty million, two hundred nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 269 331 344 430 538 662 688 769 860 1076 1324 1345 1538 1655 1720 2152 2648 2690 3076 3310 3440 3845 4304 5296 5380 6152 6620 7690 10760 11567 12304 13240 14233 15380 21520 23134 26480 28466 30760 33067 46268 56932 57835 61520 66134 71165 89039 92536 113864 115670 132268 142330 165335 178078 185072 206861 227728 231340 254539 264536 284660 330670 356156 413722 445195 462680 509078 529072 569320 661340 712312 827444 890390 925360 1018156 1034305 1138640 1272695 1322680 1424624 1654888 1780780 2036312 2068610 2545390 2645360 3309776 3561560 3828677 4072624 4137220 5090780 7123120 7657354 8274440 8895023 10181560 10945177 15314708 16548880 17790046 19143385 20363120 21890354 30629416 35580092 38286770 43780708 44475115 54725885 61258832 68470991 71160184 76573540 87561416 88950230 109451770 136941982 142320368 153147080 175122832 177900460 218903540 273883964 306294160 342354955 355800920 437807080 547767928 684709910 711601840 875614160 1095535856 1369419820 2738839640 2944252613 5477679280 5888505226 11777010452 14721263065 23554020904 29442526130 47108041808 58885052260 117770104520 235540209040