Search a number
-
+
12031641510400 = 2952939971993
BaseRepresentation
bin1010111100010101010110…
…1101111110001000000000
31120121012202210011101010001
42233011111231332020000
53034111300211313100
641331132041245344
72351154202266661
oct257052555761000
946535683141101
1012031641510400
113919654a719a6
121423990493854
1369376ab928c5
142d8498045368
1515ce85be7d6a
hexaf155b7e200

12031641510400 has 60 divisors (see below), whose sum is σ = 29809331845722. Its totient is φ = 4812656599040.

The previous prime is 12031641510359. The next prime is 12031641510431. The reversal of 12031641510400 is 401514613021.

It can be written as a sum of positive squares in 3 ways, for example, as 7023856865536 + 5007784644864 = 2650256^2 + 2237808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 469973197 + ... + 469998796.

Almost surely, 212031641510400 is an apocalyptic number.

12031641510400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12031641510400 is an abundant number, since it is smaller than the sum of its proper divisors (17777690335322).

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

12031641510400 is an frugal number, since it uses more digits than its factorization.

12031641510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939972021 (or 939972000 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 12031641510400 in words is "twelve trillion, thirty-one billion, six hundred forty-one million, five hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 939971993 1879943986 3759887972 4699859965 7519775944 9399719930 15039551888 18799439860 23499299825 30079103776 37598879720 46998599650 60158207552 75197759440 93997199300 120316415104 150395518880 187994398600 240632830208 300791037760 375988797200 481265660416 601582075520 751977594400 1203164151040 1503955188800 2406328302080 3007910377600 6015820755200 12031641510400