Search a number
-
+
20400150344 = 237472164911
BaseRepresentation
bin10010111111111100…
…011001011101001000
31221122201111000022212
4102333330121131020
5313234414302334
613212142004252
71321351262660
oct227774313510
957581430285
1020400150344
118719397992
123b53b76688
131c0156c7a2
14db74c91a0
157e5e5dece
hex4bff19748

20400150344 has 48 divisors (see below), whose sum is σ = 44664766080. Its totient is φ = 8556850080.

The previous prime is 20400150289. The next prime is 20400150349. The reversal of 20400150344 is 44305100402.

It is a super-2 number, since 2×204001503442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400150349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41249 + ... + 206159.

It is an arithmetic number, because the mean of its divisors is an integer number (930515960).

Almost surely, 220400150344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20400150344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22332383040).

20400150344 is an abundant number, since it is smaller than the sum of its proper divisors (24264615736).

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

20400150344 is a wasteful number, since it uses less digits than its factorization.

20400150344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165018 (or 164967 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 20400150344 its reverse (44305100402), we get a palindrome (64705250746).

The spelling of 20400150344 in words is "twenty billion, four hundred million, one hundred fifty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 658 1316 2209 2632 4418 8836 15463 17672 30926 61852 123704 164911 329822 659644 1154377 1319288 2308754 4617508 7750817 9235016 15501634 31003268 54255719 62006536 108511438 217022876 364288399 434045752 728576798 1457153596 2550018793 2914307192 5100037586 10200075172 20400150344