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235745434762040 = 23571969737635431
BaseRepresentation
bin110101100110100011000010…
…111001010111101100111000
31010220201001011200110101200002
4311212203002321113230320
5221344423122244341130
62153215542503132132
7100441021432503620
oct6546430271275470
91126631150411602
10235745434762040
1169130094063775
1222535065144048
13a170911c333a8
1442301d5d3d880
151c3c42e30db45
hexd668c2e57b38

235745434762040 has 128 divisors (see below), whose sum is σ = 638118098150400. Its totient is φ = 76571734717440.

The previous prime is 235745434761989. The next prime is 235745434762067. The reversal of 235745434762040 is 40267434547532.

It is a super-2 number, since 2×2357454347620402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370683125 + ... + 371318555.

It is an arithmetic number, because the mean of its divisors is an integer number (4985297641800).

Almost surely, 2235745434762040 is an apocalyptic number.

235745434762040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235745434762040 is an abundant number, since it is smaller than the sum of its proper divisors (402372663388360).

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

235745434762040 is a wasteful number, since it uses less digits than its factorization.

235745434762040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705205 (or 705201 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 56.

The spelling of 235745434762040 in words is "two hundred thirty-five trillion, seven hundred forty-five billion, four hundred thirty-four million, seven hundred sixty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 69737 139474 278948 348685 488159 557896 635431 697370 976318 1270862 1325003 1394740 1952636 2440795 2541724 2650006 2789480 3177155 3905272 4448017 4881590 5083448 5300012 6354310 6625015 8896034 9275021 9763180 10600024 12073189 12708620 13250030 17792068 18550042 19526360 22240085 24146378 25417240 26500060 35584136 37100084 44480170 46375105 48292756 53000120 60365945 74200168 84512323 88960340 92750210 96585512 120731890 169024646 177920680 185500420 241463780 338049292 371000840 422561615 482927560 676098584 845123230 1690246460 3380492920 44313051647 88626103294 177252206588 221565258235 310191361529 354504413176 443130516470 620382723058 841947981293 886261032940 1240765446116 1550956807645 1683895962586 1772522065880 2481530892232 3101913615290 3367791925172 4209739906465 5893635869051 6203827230580 6735583850344 8419479812930 11787271738102 12407654461160 16838959625860 23574543476204 29468179345255 33677919251720 47149086952408 58936358690510 117872717381020 235745434762040