Search a number
-
+
1020236405540 = 2251140639114113
BaseRepresentation
bin11101101100010101101…
…01000001101100100100
310121112102000210100011112
432312022311001230210
5113203421004434130
62100405022524152
7133465260234632
oct16661265015444
93545360710145
101020236405540
113637529429a0
1214588b136658
13752919361c1
1437545caa352
151b81312d495
hexed8ad41b24

1020236405540 has 48 divisors (see below), whose sum is σ = 2337346851840. Its totient is φ = 370982676480.

The previous prime is 1020236405533. The next prime is 1020236405543. The reversal of 1020236405540 is 455046320201.

It is a junction number, because it is equal to n+sod(n) for n = 1020236405497 and 1020236405506.

It is not an unprimeable number, because it can be changed into a prime (1020236405543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8883524 + ... + 8997636.

It is an arithmetic number, because the mean of its divisors is an integer number (48694726080).

Almost surely, 21020236405540 is an apocalyptic number.

1020236405540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020236405540 is an abundant number, since it is smaller than the sum of its proper divisors (1317110446300).

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

1020236405540 is a wasteful number, since it uses less digits than its factorization.

1020236405540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154772 (or 154770 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 1020236405540 in words is "one trillion, twenty billion, two hundred thirty-six million, four hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 40639 81278 114113 162556 203195 228226 406390 447029 456452 570565 812780 894058 1141130 1255243 1788116 2235145 2282260 2510486 4470290 5020972 6276215 8940580 12552430 25104860 4637438207 9274876414 18549752828 23187191035 46374382070 51011820277 92748764140 102023640554 204047281108 255059101385 510118202770 1020236405540