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1140144031104 = 27313228394237
BaseRepresentation
bin10000100101110101111…
…000010100010110000000
311000222220121010211202120
4100211311320110112000
5122140003332443404
62231435215244240
7145241555235051
oct20456570242600
94028817124676
101140144031104
113aa594644801
12164b73b19680
1383690949930
143d27cc48728
151e9cee389d9
hex10975e14580

1140144031104 has 64 divisors (see below), whose sum is σ = 3261469718640. Its totient is φ = 350813546496.

The previous prime is 1140144031079. The next prime is 1140144031109. The reversal of 1140144031104 is 4011304410411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140144031109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114192127 + ... + 114202110.

Almost surely, 21140144031104 is an apocalyptic number.

It is an amenable number.

1140144031104 is an abundant number, since it is smaller than the sum of its proper divisors (2121325687536).

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

1140144031104 is a wasteful number, since it uses less digits than its factorization.

1140144031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228394267 (or 228394255 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1140144031104 its reverse (4011304410411), we get a palindrome (5151448441515).

The spelling of 1140144031104 in words is "one trillion, one hundred forty billion, one hundred forty-four million, thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 228394237 456788474 685182711 913576948 1370365422 1827153896 2740730844 2969125081 3654307792 5481461688 5938250162 7308615584 8907375243 10962923376 11876500324 14617231168 17814750486 21925846752 23753000648 29234462336 35629500972 43851693504 47506001296 71259001944 87703387008 95012002592 142518003888 190024005184 285036007776 380048010368 570072015552 1140144031104