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1140200214444 = 2233371667171167
BaseRepresentation
bin10000100101111001001…
…110101000111110101100
311001000001111212020211000
4100211321032220332230
5122140112223330234
62231444543400300
7145243136624634
oct20457116507654
94030044766730
101140200214444
113aa613329115
12164b8a8b3090
138369c48b605
143d2864b16c4
151e9d4d35899
hex109793a8fac

1140200214444 has 96 divisors (see below), whose sum is σ = 3037807503360. Its totient is φ = 369570672576.

The previous prime is 1140200214421. The next prime is 1140200214463. The reversal of 1140200214444 is 4444120020411.

It is a happy number.

1140200214444 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 2 + 0 + 0 + 214 + 444 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6575749 + ... + 6746915.

It is an arithmetic number, because the mean of its divisors is an integer number (31643828160).

Almost surely, 21140200214444 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 1140200214444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518903751680).

1140200214444 is an abundant number, since it is smaller than the sum of its proper divisors (1897607288916).

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

1140200214444 is a wasteful number, since it uses less digits than its factorization.

1140200214444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172884 (or 172876 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1140200214444 its reverse (4444120020411), we get a palindrome (5584320234855).

The spelling of 1140200214444 in words is "one trillion, one hundred forty billion, two hundred million, two hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1667 1998 3334 3996 5001 6668 10002 15003 20004 30006 45009 60012 61679 90018 123358 171167 180036 185037 246716 342334 370074 513501 555111 684668 740148 1027002 1110222 1540503 1665333 2054004 2220444 3081006 3330666 4621509 6162012 6333179 6661332 9243018 12666358 18486036 18999537 25332716 37999074 56998611 75998148 113997222 170995833 227994444 285335389 341991666 570670778 683983332 856006167 1141341556 1712012334 2568018501 3424024668 5136037002 7704055503 10272074004 10557409393 15408111006 21114818786 30816222012 31672228179 42229637572 63344456358 95016684537 126688912716 190033369074 285050053611 380066738148 570100107222 1140200214444