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1391040144 = 2432131275851
BaseRepresentation
bin101001011101001…
…1001011010010000
310120221111011100100
41102322121122100
510322101241034
6350010452400
746320434424
oct12272313220
93527434310
101391040144
1165422a05a
12329a34100
131922624a0
14d2a5cb84
15821c5099
hex52e99690

1391040144 has 120 divisors (see below), whose sum is σ = 4226173952. Its totient is φ = 424569600.

The previous prime is 1391040127. The next prime is 1391040149. The reversal of 1391040144 is 4410401931.

It is not an unprimeable number, because it can be changed into a prime (1391040149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234819 + ... + 240669.

Almost surely, 21391040144 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 1391040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113086976).

1391040144 is an abundant number, since it is smaller than the sum of its proper divisors (2835133808).

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

1391040144 is a wasteful number, since it uses less digits than its factorization.

1391040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005 (or 5996 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1391040144 is about 37296.6505734764. The cubic root of 1391040144 is about 1116.2973347336.

The spelling of 1391040144 in words is "one billion, three hundred ninety-one million, forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 127 144 156 208 234 254 312 381 468 508 624 762 936 1016 1143 1524 1651 1872 2032 2286 3048 3302 4572 4953 5851 6096 6604 9144 9906 11702 13208 14859 17553 18288 19812 23404 26416 29718 35106 39624 46808 52659 59436 70212 76063 79248 93616 105318 118872 140424 152126 210636 228189 237744 280848 304252 421272 456378 608504 684567 743077 842544 912756 1217008 1369134 1486154 1825512 2229231 2738268 2972308 3651024 4458462 5476536 5944616 6687693 8916924 9660001 10953072 11889232 13375386 17833848 19320002 26750772 28980003 35667696 38640004 53501544 57960006 77280008 86940009 107003088 115920012 154560016 173880018 231840024 347760036 463680048 695520072 1391040144