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16407207144 = 23321741326941
BaseRepresentation
bin11110100011111001…
…00001110011101000
31120100110001110222200
433101330201303220
5232100221112034
611312023220200
71120404650106
oct172174416350
946313043880
1016407207144
116a5a493629
12321a8a7660
13171624c0c3
14b19090c76
1566062ea99
hex3d1f21ce8

16407207144 has 96 divisors (see below), whose sum is σ = 48197789640. Its totient is φ = 5021798400.

The previous prime is 16407207143. The next prime is 16407207169. The reversal of 16407207144 is 44170270461.

It is a happy number.

16407207144 is a `hidden beast` number, since 1 + 6 + 407 + 207 + 1 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15841243044 + 565964100 = 125862^2 + 23790^2 .

It is a super-2 number, since 2×164072071442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16407207099 and 16407207108.

It is not an unprimeable number, because it can be changed into a prime (16407207143) 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, 113287 + ... + 213654.

Almost surely, 216407207144 is an apocalyptic number.

It is an amenable number.

16407207144 is an abundant number, since it is smaller than the sum of its proper divisors (31790582496).

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

16407207144 is a wasteful number, since it uses less digits than its factorization.

16407207144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327011 (or 327004 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 16407207144 in words is "sixteen billion, four hundred seven million, two hundred seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 41 51 68 72 82 102 123 136 153 164 204 246 306 328 369 408 492 612 697 738 984 1224 1394 1476 2091 2788 2952 4182 5576 6273 8364 12546 16728 25092 50184 326941 653882 980823 1307764 1961646 2615528 2942469 3923292 5557997 5884938 7846584 11115994 11769876 13404581 16673991 22231988 23539752 26809162 33347982 40213743 44463976 50021973 53618324 66695964 80427486 100043946 107236648 120641229 133391928 160854972 200087892 227877877 241282458 321709944 400175784 455755754 482564916 683633631 911511508 965129832 1367267262 1823023016 2050900893 2734534524 4101801786 5469069048 8203603572 16407207144