Search a number
-
+
2351105120440 = 2351929106674461
BaseRepresentation
bin100010001101101000110…
…010010001100010111000
322022202121120001222120201
4202031220302101202320
5302010030402323230
65000025514131544
7331601401533556
oct42155062214270
98282546058521
102351105120440
1182710960250a
1231b7b0420bb4
131409290871cb
1481b18dd4bd6
15412570795ca
hex22368c918b8

2351105120440 has 64 divisors (see below), whose sum is σ = 5760420948000. Its totient is φ = 860222845440.

The previous prime is 2351105120393. The next prime is 2351105120477. The reversal of 2351105120440 is 440215011532.

It is a junction number, because it is equal to n+sod(n) for n = 2351105120399 and 2351105120408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53315191 + ... + 53359270.

Almost surely, 22351105120440 is an apocalyptic number.

2351105120440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2351105120440 is an abundant number, since it is smaller than the sum of its proper divisors (3409315827560).

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

2351105120440 is a wasteful number, since it uses less digits than its factorization.

2351105120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106674520 (or 106674516 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 2351105120440 in words is "two trillion, three hundred fifty-one billion, one hundred five million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 551 580 760 1102 1160 2204 2755 4408 5510 11020 22040 106674461 213348922 426697844 533372305 853395688 1066744610 2026814759 2133489220 3093559369 4053629518 4266978440 6187118738 8107259036 10134073795 12374237476 15467796845 16214518072 20268147590 24748474952 30935593690 40536295180 58777628011 61871187380 81072590360 117555256022 123742374760 235110512044 293888140055 470221024088 587776280110 1175552560220 2351105120440