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14344100148 = 22373131317599
BaseRepresentation
bin11010101101111100…
…11001100100110100
31101000122221210020110
431112332121210310
5213334042201043
610331203503020
71015313560650
oct152676314464
941018853213
1014344100148
1160a0963824
122943987a70
1314779aa831
149a1089a60
1558e453b33
hex356f99934

14344100148 has 96 divisors (see below), whose sum is σ = 39613235200. Its totient is φ = 3953214720.

The previous prime is 14344100143. The next prime is 14344100203. The reversal of 14344100148 is 84100144341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14344100143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806253 + ... + 823851.

Almost surely, 214344100148 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 14344100148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19806617600).

14344100148 is an abundant number, since it is smaller than the sum of its proper divisors (25269135052).

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

14344100148 is a wasteful number, since it uses less digits than its factorization.

14344100148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17957 (or 17955 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 14344100148 its reverse (84100144341), we get a palindrome (98444244489).

The spelling of 14344100148 in words is "fourteen billion, three hundred forty-four million, one hundred thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 313 372 434 626 651 868 939 1252 1302 1878 2191 2604 3756 4382 6573 8764 9703 13146 17599 19406 26292 29109 35198 38812 52797 58218 67921 70396 105594 116436 123193 135842 203763 211188 246386 271684 369579 407526 492772 545569 739158 815052 1091138 1478316 1636707 2182276 3273414 3818983 5508487 6546828 7637966 11016974 11456949 15275932 16525461 22033948 22913898 33050922 38559409 45827796 66101844 77118818 115678227 154237636 170763097 231356454 341526194 462712908 512289291 683052388 1024578582 1195341679 2049157164 2390683358 3586025037 4781366716 7172050074 14344100148