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30035442300240 = 24351312007801761
BaseRepresentation
bin1101101010001001010111…
…10111100111010101010000
310221100100201121122011021210
412311010223313213111100
512414100041212101430
6143514031450420120
76216663155102466
oct665045367472520
9127310647564253
1030035442300240
11962aa61179883
1234510a0a31640
13139b43a195040
1475ba1a50c836
153714565c62b0
hex1b512bde7550

30035442300240 has 160 divisors (see below), whose sum is σ = 100280645127936. Its totient is φ = 7392714670080.

The previous prime is 30035442300223. The next prime is 30035442300251. The reversal of 30035442300240 is 4200324453003.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30035442300198 and 30035442300207.

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, 37060960 + ... + 37862720.

Almost surely, 230035442300240 is an apocalyptic number.

30035442300240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30035442300240 is an abundant number, since it is smaller than the sum of its proper divisors (70245202827696).

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

30035442300240 is a wasteful number, since it uses less digits than its factorization.

30035442300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813797 (or 813791 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 30035442300240 its reverse (4200324453003), we get a palindrome (34235766753243).

The spelling of 30035442300240 in words is "thirty trillion, thirty-five billion, four hundred forty-two million, three hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 12007 24014 36021 48028 60035 72042 96056 120070 144084 156091 180105 192112 240140 288168 312182 360210 468273 480280 576336 624364 720420 780455 801761 936546 960560 1248728 1440840 1560910 1603522 1873092 2341365 2405283 2497456 2881680 3121820 3207044 3746184 4008805 4682730 4810566 6243640 6414088 7492368 8017610 9365460 9621132 10422893 12026415 12487280 12828176 16035220 18730920 19242264 20845786 24052830 31268679 32070440 37461840 38484528 41691572 48105660 52114465 62537358 64140880 83383144 96211320 104228930 125074716 156343395 166766288 192422640 208457860 250149432 312686790 416915720 500298864 625373580 833831440 1250747160 2501494320 9626744327 19253488654 28880232981 38506977308 48133721635 57760465962 77013954616 96267443270 115520931924 125147676251 144401164905 154027909232 192534886540 231041863848 250295352502 288802329810 375443028753 385069773080 462083727696 500590705004 577604659620 625738381255 750886057506 770139546160 1001181410008 1155209319240 1251476762510 1501772115012 1877215143765 2002362820016 2310418638480 2502953525020 3003544230024 3754430287530 5005907050040 6007088460048 7508860575060 10011814100080 15017721150120 30035442300240