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235334461140 = 2232517924130307
BaseRepresentation
bin1101101100101100000…
…1101110011011010100
3211111102212022021212100
43123023001232123110
512323431110224030
6300040002122100
723000543625462
oct3331301563324
9744385267770
10235334461140
11908941938a9
1239739050330
131926591834c
14b566bb1832
1561c556e360
hex36cb06e6d4

235334461140 has 144 divisors (see below), whose sum is σ = 720838198080. Its totient is φ = 62144271360.

The previous prime is 235334461129. The next prime is 235334461169. The reversal of 235334461140 is 41164433532.

235334461140 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 34 + 4 + 611 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 235334461095 and 235334461104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7749867 + ... + 7780173.

It is an arithmetic number, because the mean of its divisors is an integer number (5005820820).

Almost surely, 2235334461140 is an apocalyptic number.

235334461140 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 235334461140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360419099040).

235334461140 is an abundant number, since it is smaller than the sum of its proper divisors (485503736940).

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

235334461140 is a wasteful number, since it uses less digits than its factorization.

235334461140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30742 (or 30737 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 235334461140 its reverse (41164433532), we get a palindrome (276498894672).

The spelling of 235334461140 in words is "two hundred thirty-five billion, three hundred thirty-four million, four hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 241 358 482 537 716 723 895 964 1074 1205 1446 1611 1790 2148 2169 2410 2685 2892 3222 3580 3615 4338 4820 5370 6444 7230 8055 8676 10740 10845 14460 16110 21690 30307 32220 43139 43380 60614 86278 90921 121228 129417 151535 172556 181842 215695 258834 272763 303070 363684 388251 431390 454605 517668 545526 606140 647085 776502 862780 909210 1091052 1294170 1363815 1553004 1818420 1941255 2588340 2727630 3882510 5424953 5455260 7303987 7765020 10849906 14607974 16274859 21699812 21911961 27124765 29215948 32549718 36519935 43823922 48824577 54249530 65099436 65735883 73039870 81374295 87647844 97649154 108499060 109559805 131471766 146079740 162748590 195298308 219119610 244122885 262943532 325497180 328679415 438239220 488245770 657358830 976491540 1307413673 1314717660 2614827346 3922241019 5229654692 6537068365 7844482038 11766723057 13074136730 15688964076 19611205095 23533446114 26148273460 39222410190 47066892228 58833615285 78444820380 117667230570 235334461140