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105516371440 = 2451318954643
BaseRepresentation
bin110001001000101000…
…1000000110111110000
3101002100121200001021001
41202101101000313300
53212044142341230
6120250142011344
710423536234034
oct1422121006760
9332317601231
10105516371440
1140827271667
1218549276b54
139c4763605c
14516d93a1c4
152b286900ca
hex1891440df0

105516371440 has 20 divisors (see below), whose sum is σ = 245325563784. Its totient is φ = 42206548544.

The previous prime is 105516371419. The next prime is 105516371447. The reversal of 105516371440 is 44173615501.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1055163714402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105516371440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105516371447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 659477242 + ... + 659477401.

Almost surely, 2105516371440 is an apocalyptic number.

105516371440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105516371440 is an abundant number, since it is smaller than the sum of its proper divisors (139809192344).

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

105516371440 is a wasteful number, since it uses less digits than its factorization.

105516371440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318954656 (or 1318954650 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

Adding to 105516371440 its reverse (44173615501), we get a palindrome (149689986941).

The spelling of 105516371440 in words is "one hundred five billion, five hundred sixteen million, three hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1318954643 2637909286 5275818572 6594773215 10551637144 13189546430 21103274288 26379092860 52758185720 105516371440