Search a number
-
+
4020443011305 = 34575519256957
BaseRepresentation
bin111010100000010101000…
…100111101100011101001
3112020100110120211021110000
4322200111010331203221
51011332331402330210
612314544354413213
7563316216511140
oct72402504754351
915210416737400
104020443011305
1113100732a3636
1254b232291209
132321841c4026
14dc83a3c4757
156e8aaa83ac0
hex3a81513d8e9

4020443011305 has 80 divisors (see below), whose sum is σ = 8238114593280. Its totient is φ = 1837576637568.

The previous prime is 4020443011301. The next prime is 4020443011313. The reversal of 4020443011305 is 5031103440204.

It is a happy number.

It is not a de Polignac number, because 4020443011305 - 22 = 4020443011301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4020443011301) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15517887 + ... + 15774843.

It is an arithmetic number, because the mean of its divisors is an integer number (102976432416).

Almost surely, 24020443011305 is an apocalyptic number.

4020443011305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4020443011305 is an abundant number, since it is smaller than the sum of its proper divisors (4217671581975).

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

4020443011305 is a wasteful number, since it uses less digits than its factorization.

4020443011305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262500 (or 262491 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 4020443011305 its reverse (5031103440204), we get a palindrome (9051546451509).

The spelling of 4020443011305 in words is "four trillion, twenty billion, four hundred forty-three million, eleven thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 5519 16557 27595 38633 49671 82785 115899 149013 193165 248355 256957 347697 447039 579495 745065 770871 1043091 1284785 1738485 1798699 2235195 2312613 3129273 3854355 5215455 5396097 6937839 8993495 11563065 15646365 16188291 20813517 26980485 34689195 48564873 80941455 104067585 145694619 242824365 728473095 1418145683 4254437049 7090728415 9927019781 12763311147 21272185245 29781059343 38289933441 49635098905 63816555735 89343178029 114869800323 148905296715 191449667205 268029534087 446715890145 574349001615 804088602261 1340147670435 4020443011305