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42294307140 = 22345171535741
BaseRepresentation
bin100111011000111011…
…111110100101000100
311001011120012102020000
4213120323332211010
51143104320312030
631232453441300
73025043451621
oct473073764504
9131146172200
1042294307140
1116a34040a48
128244340230
133cb04b3457
142093197348
151178131860
hex9d8efe944

42294307140 has 120 divisors (see below), whose sum is σ = 140483535192. Its totient is φ = 10615034880.

The previous prime is 42294307093. The next prime is 42294307169. The reversal of 42294307140 is 4170349224.

42294307140 is a `hidden beast` number, since 422 + 94 + 3 + 0 + 7 + 140 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1535542596 + 40758764544 = 39186^2 + 201888^2 .

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 = 42294307095 and 42294307104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 740331 + ... + 795410.

Almost surely, 242294307140 is an apocalyptic number.

It is an amenable number.

42294307140 is an abundant number, since it is smaller than the sum of its proper divisors (98189228052).

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

42294307140 is a wasteful number, since it uses less digits than its factorization.

42294307140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535779 (or 1535768 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 42294307140 in words is "forty-two billion, two hundred ninety-four million, three hundred seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 2295 2754 3060 4590 5508 6885 9180 13770 27540 1535741 3071482 4607223 6142964 7678705 9214446 13821669 15357410 18428892 23036115 26107597 27643338 30714820 41465007 46072230 52215194 55286676 69108345 78322791 82930014 92144460 104430388 124395021 130537985 138216690 156645582 165860028 207325035 234968373 248790042 261075970 276433380 313291164 391613955 414650070 469936746 497580084 522151940 621975105 704905119 783227910 829300140 939873492 1174841865 1243950210 1409810238 1566455820 2114715357 2349683730 2487900420 2819620476 3524525595 4229430714 4699367460 7049051190 8458861428 10573576785 14098102380 21147153570 42294307140