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61311714240 = 263579123767
BaseRepresentation
bin111001000110011101…
…101000001111000000
312212020220210210102010
4321012131220033000
52001031244323430
644055522452520
74300234654320
oct710635501700
9185226723363
1061311714240
1124002956417
12ba71204140
135a2143706a
142d78b83280
1518dc9a8cb0
hexe467683c0

61311714240 has 112 divisors (see below), whose sum is σ = 222473958912. Its totient is φ = 14014104576.

The previous prime is 61311714239. The next prime is 61311714319. The reversal of 61311714240 is 4241711316.

It is a tau number, because it is divible by the number of its divisors (112).

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 = 61311714198 and 61311714207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4555164 + ... + 4568603.

Almost surely, 261311714240 is an apocalyptic number.

61311714240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61311714240 is an abundant number, since it is smaller than the sum of its proper divisors (161162244672).

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

61311714240 is a wasteful number, since it uses less digits than its factorization.

61311714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9123794 (or 9123784 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 61311714240 in words is "sixty-one billion, three hundred eleven million, seven hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 9123767 18247534 27371301 36495068 45618835 54742602 63866369 72990136 91237670 109485204 127732738 136856505 145980272 182475340 191599107 218970408 255465476 273713010 291960544 319331845 364950680 383198214 437940816 510930952 547426020 583921088 638663690 729901360 766396428 875881632 957995535 1021861904 1094852040 1277327380 1459802720 1532792856 1751763264 1915991070 2043723808 2189704080 2554654760 2919605440 3065585712 3831982140 4087447616 4379408160 5109309520 6131171424 7663964280 8758816320 10218619040 12262342848 15327928560 20437238080 30655857120 61311714240