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107415060140 = 22531733896101
BaseRepresentation
bin110010000001001101…
…1111011111010101100
3101021020221101102111202
41210002123323322230
53224441223411030
6121202405305032
710521562642433
oct1440233737254
9337227342452
10107415060140
1141611001583
1218999105178
13a18aacaaab
1452adb8211a
152bda1de745
hex19026fbeac

107415060140 has 96 divisors (see below), whose sum is σ = 236683399680. Its totient is φ = 40898304000.

The previous prime is 107415060127. The next prime is 107415060157. The reversal of 107415060140 is 41060514701.

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, 17603090 + ... + 17609190.

It is an arithmetic number, because the mean of its divisors is an integer number (2465452080).

Almost surely, 2107415060140 is an apocalyptic number.

107415060140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107415060140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118341699840).

107415060140 is an abundant number, since it is smaller than the sum of its proper divisors (129268339540).

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

107415060140 is a wasteful number, since it uses less digits than its factorization.

107415060140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6603 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 107415060140 its reverse (41060514701), we get a palindrome (148475574841).

The spelling of 107415060140 in words is "one hundred seven billion, four hundred fifteen million, sixty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 73 124 146 155 292 310 365 389 620 730 778 1460 1556 1945 2263 3890 4526 6101 7780 9052 11315 12059 12202 22630 24118 24404 28397 30505 45260 48236 56794 60295 61010 113588 120590 122020 141985 189131 241180 283970 378262 445373 567940 756524 880307 890746 945655 1760614 1781492 1891310 2226865 2373289 3521228 3782620 4401535 4453730 4746578 8803070 8907460 9493156 11866445 13806563 17606140 23732890 27613126 47465780 55226252 69032815 73571959 138065630 147143918 173250097 276131260 294287836 346500194 367859795 693000388 735719590 866250485 1471439180 1732500970 3465001940 5370753007 10741506014 21483012028 26853765035 53707530070 107415060140