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107347770240 = 2735173288841
BaseRepresentation
bin110001111111001101…
…1001111101110000000
3101021002020202202010020
41203332123033232000
53224322012121430
6121152003133440
710520114664114
oct1437633175600
9337066682106
10107347770240
1141587021697
121897a674280
13a179b9a999
1452a4c67744
152bd434bb10
hex18fe6cfb80

107347770240 has 128 divisors (see below), whose sum is σ = 362298834720. Its totient is φ = 26942177280.

The previous prime is 107347770227. The next prime is 107347770241. The reversal of 107347770240 is 42077743701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 107347770192 and 107347770201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107347770241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1611781 + ... + 1677060.

Almost surely, 2107347770240 is an apocalyptic number.

107347770240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107347770240 is an abundant number, since it is smaller than the sum of its proper divisors (254951064480).

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

107347770240 is a wasteful number, since it uses less digits than its factorization.

107347770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288880 (or 3288868 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 42.

The spelling of 107347770240 in words is "one hundred seven billion, three hundred forty-seven million, seven hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 3288841 6577682 9866523 13155364 16444205 19733046 26310728 32888410 39466092 49332615 52621456 55910297 65776820 78932184 98665230 105242912 111820594 131553640 157864368 167730891 197330460 210485824 223641188 263107280 279551485 315728736 335461782 394660920 420971648 447282376 526214560 559102970 631457472 670923564 789321840 838654455 894564752 1052429120 1118205940 1262914944 1341847128 1578643680 1677308910 1789129504 2104858240 2236411880 2683694256 3157287360 3354617820 3578259008 4472823760 5367388512 6314574720 6709235640 7156518016 8945647520 10734777024 13418471280 17891295040 21469554048 26836942560 35782590080 53673885120 107347770240