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11424333144 = 2337283117043
BaseRepresentation
bin10101010001111000…
…10111110101011000
31002111011220020212210
422220330113311120
5141344112130034
65125343035120
7553051141500
oct125074276530
932434806783
1011424333144
114932813644
122269b9baa0
131100b08753
147a53aaa00
1546ce5c8e9
hex2a8f17d58

11424333144 has 96 divisors (see below), whose sum is σ = 33624400320. Its totient is φ = 3224741184.

The previous prime is 11424333139. The next prime is 11424333163. The reversal of 11424333144 is 44133342411.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39087 + ... + 156129.

It is an arithmetic number, because the mean of its divisors is an integer number (350254170).

Almost surely, 211424333144 is an apocalyptic number.

11424333144 is a gapful number since it is divisible by the number (14) 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 11424333144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812200160).

11424333144 is an abundant number, since it is smaller than the sum of its proper divisors (22200067176).

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

11424333144 is a wasteful number, since it uses less digits than its factorization.

11424333144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117149 (or 117138 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 11424333144 its reverse (44133342411), we get a palindrome (55557675555).

The spelling of 11424333144 in words is "eleven billion, four hundred twenty-four million, three hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 83 84 98 147 166 168 196 249 294 332 392 498 581 588 664 996 1162 1176 1743 1992 2324 3486 4067 4648 6972 8134 12201 13944 16268 24402 32536 48804 97608 117043 234086 351129 468172 702258 819301 936344 1404516 1638602 2457903 2809032 3277204 4915806 5735107 6554408 9714569 9831612 11470214 17205321 19429138 19663224 22940428 29143707 34410642 38858276 45880856 58287414 68001983 68821284 77716552 116574828 136003966 137642568 204005949 233149656 272007932 408011898 476013881 544015864 816023796 952027762 1428041643 1632047592 1904055524 2856083286 3808111048 5712166572 11424333144