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11414220144 = 2437110930727
BaseRepresentation
bin10101010000101011…
…10010110101110000
31002110110212110110020
422220111302311300
5141334020021034
65124342203440
7552566161515
oct125025626560
932413773406
1011414220144
114928036598
122266723580
1310cb9a7622
147a3cd730c
1546c111249
hex2a8572d70

11414220144 has 80 divisors (see below), whose sum is σ = 30177354240. Its totient is φ = 3716616960.

The previous prime is 11414220137. The next prime is 11414220149. The reversal of 11414220144 is 44102241411.

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 (11414220149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356109 + ... + 386835.

It is an arithmetic number, because the mean of its divisors is an integer number (377216928).

Almost surely, 211414220144 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 11414220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15088677120).

11414220144 is an abundant number, since it is smaller than the sum of its proper divisors (18763134096).

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

11414220144 is a wasteful number, since it uses less digits than its factorization.

11414220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30918 (or 30912 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 11414220144 its reverse (44102241411), we get a palindrome (55516461555).

The spelling of 11414220144 in words is "eleven billion, four hundred fourteen million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 109 142 213 218 284 327 426 436 568 654 852 872 1136 1308 1704 1744 2616 3408 5232 7739 15478 23217 30727 30956 46434 61454 61912 92181 92868 122908 123824 184362 185736 245816 368724 371472 491632 737448 1474896 2181617 3349243 4363234 6544851 6698486 8726468 10047729 13089702 13396972 17452936 20095458 26179404 26793944 34905872 40190916 52358808 53587888 80381832 104717616 160763664 237796253 475592506 713388759 951185012 1426777518 1902370024 2853555036 3804740048 5707110072 11414220144