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5440149504 = 21132714157
BaseRepresentation
bin1010001000100001…
…00001100000000000
3112001010121020011200
411010100201200000
542120134241004
62255453141200
7251545336116
oct50420414000
915033536150
105440149504
112341905929
121079a8a800
136890b9a9a
14398717ab6
1521c8eb239
hex144421800

5440149504 has 144 divisors (see below), whose sum is σ = 15937281360. Its totient is φ = 1787412480.

The previous prime is 5440149499. The next prime is 5440149511. The reversal of 5440149504 is 4059410445.

5440149504 is a `hidden beast` number, since 5 + 4 + 4 + 0 + 149 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1306594 + ... + 1310750.

It is an arithmetic number, because the mean of its divisors is an integer number (110675565).

Almost surely, 25440149504 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 5440149504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968640680).

5440149504 is an abundant number, since it is smaller than the sum of its proper divisors (10497131856).

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

5440149504 is a wasteful number, since it uses less digits than its factorization.

5440149504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5440149504 is about 73757.3691504788. The cubic root of 5440149504 is about 1758.7479800790.

Adding to 5440149504 its reverse (4059410445), we get a palindrome (9499559949).

The spelling of 5440149504 in words is "five billion, four hundred forty million, one hundred forty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 512 568 576 639 768 852 1024 1136 1152 1278 1536 1704 2048 2272 2304 2556 3072 3408 4157 4544 4608 5112 6144 6816 8314 9088 9216 10224 12471 13632 16628 18176 18432 20448 24942 27264 33256 36352 37413 40896 49884 54528 66512 72704 74826 81792 99768 109056 133024 145408 149652 163584 199536 218112 266048 295147 299304 327168 399072 436224 532096 590294 598608 654336 798144 885441 1064192 1180588 1197216 1308672 1596288 1770882 2128384 2361176 2394432 2656323 3192576 3541764 4256768 4722352 4788864 5312646 6385152 7083528 8513536 9444704 9577728 10625292 12770304 14167056 18889408 19155456 21250584 25540608 28334112 37778816 38310912 42501168 56668224 75557632 76621824 85002336 113336448 151115264 170004672 226672896 302230528 340009344 453345792 604461056 680018688 906691584 1360037376 1813383168 2720074752 5440149504