Search a number
-
+
401450054104 = 2311191911257077
BaseRepresentation
bin1011101011110000100…
…10011011000111011000
31102101012202002202021101
411311320102123013120
523034132203212404
6504231255521144
741001210105001
oct5657022330730
91371182082241
10401450054104
111452880a9520
12659789891b4
132bb19b93a18
14156049c41a8
15a698d792a4
hex5d7849b1d8

401450054104 has 64 divisors (see below), whose sum is σ = 868892313600. Its totient is φ = 171967996800.

The previous prime is 401450054101. The next prime is 401450054113.

401450054104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4014500541042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401450054101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309187 + ... + 947890.

It is an arithmetic number, because the mean of its divisors is an integer number (13576442400).

Almost surely, 2401450054104 is an apocalyptic number.

401450054104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401450054104 is an abundant number, since it is smaller than the sum of its proper divisors (467442259496).

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

401450054104 is a wasteful number, since it uses less digits than its factorization.

401450054104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257304 (or 1257300 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

It can be divided in two parts, 4014500 and 54104, that added together give a palindrome (4068604).

The spelling of 401450054104 in words is "four hundred one billion, four hundred fifty million, fifty-four thousand, one hundred four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 191 209 382 418 764 836 1528 1672 2101 3629 4202 7258 8404 14516 16808 29032 39919 79838 159676 319352 1257077 2514154 5028308 10056616 13827847 23884463 27655694 47768926 55311388 95537852 110622776 191075704 240101707 262729093 480203414 525458186 960406828 1050916372 1920813656 2101832744 2641118777 4561932433 5282237554 9123864866 10564475108 18247729732 21128950216 36495459464 50181256763 100362513526 200725027052 401450054104