Search a number
-
+
1144251412000 = 2553787936307
BaseRepresentation
bin10000101001101010101…
…100101110111000100000
311001101111211220102002221
4100221222230232320200
5122221411330141000
62233354542520424
7145445421344344
oct20515254567040
94041454812087
101144251412000
11401302100874
1216591b596114
1383b96897528
143d54c551624
151eb7082061a
hex10a6ab2ee20

1144251412000 has 96 divisors (see below), whose sum is σ = 2811859989120. Its totient is φ = 457629868800.

The previous prime is 1144251411991. The next prime is 1144251412037. The reversal of 1144251412000 is 2141524411.

It is a super-2 number, since 2×11442514120002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31497847 + ... + 31534153.

It is an arithmetic number, because the mean of its divisors is an integer number (29290208220).

Almost surely, 21144251412000 is an apocalyptic number.

1144251412000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144251412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405929994560).

1144251412000 is an abundant number, since it is smaller than the sum of its proper divisors (1667608577120).

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

1144251412000 is an equidigital number, since it uses as much as digits as its factorization.

1144251412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44211 (or 44193 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 1144251412000 its reverse (2141524411), we get a palindrome (1146392936411).

The spelling of 1144251412000 in words is "one trillion, one hundred forty-four billion, two hundred fifty-one million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 7879 15758 31516 36307 39395 63032 72614 78790 126064 145228 157580 181535 196975 252128 290456 315160 363070 393950 580912 630320 726140 787900 907675 984875 1161824 1260640 1452280 1575800 1815350 1969750 2904560 3151600 3630700 3939500 4538375 5809120 6303200 7261400 7879000 9076750 14522800 15758000 18153500 29045600 31516000 36307000 72614000 145228000 286062853 572125706 1144251412 1430314265 2288502824 2860628530 4577005648 5721257060 7151571325 9154011296 11442514120 14303142650 22885028240 28606285300 35757856625 45770056480 57212570600 71515713250 114425141200 143031426500 228850282400 286062853000 572125706000 1144251412000