Search a number
-
+
5460942144 = 263731131071
BaseRepresentation
bin1010001010111111…
…10101110101000000
3112002120201121022110
411011133311311000
542141000122034
62301514535320
7252220146060
oct50537656500
915076647273
105460942144
112352617729
121084a37540
136904b9c18
1439b3ab3a0
1521e656de9
hex1457f5d40

5460942144 has 112 divisors (see below), whose sum is σ = 17045651456. Its totient is φ = 1509926400.

The previous prime is 5460942127. The next prime is 5460942169. The reversal of 5460942144 is 4412490645.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23872 + ... + 107199.

Almost surely, 25460942144 is an apocalyptic number.

It is an amenable number.

5460942144 is an abundant number, since it is smaller than the sum of its proper divisors (11584709312).

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

5460942144 is a wasteful number, since it uses less digits than its factorization.

5460942144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131124 (or 131114 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 5460942144 is about 73898.1876909035. The cubic root of 5460942144 is about 1760.9858182399.

The spelling of 5460942144 in words is "five billion, four hundred sixty million, nine hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 6944 10416 13888 20832 41664 131071 262142 393213 524284 786426 917497 1048568 1572852 1834994 2097136 2752491 3145704 3669988 4063201 4194272 5504982 6291408 7339976 8126402 8388544 11009964 12189603 12582816 14679952 16252804 22019928 24379206 25165632 28442407 29359904 32505608 44039856 48758412 56884814 58719808 65011216 85327221 88079712 97516824 113769628 130022432 170654442 176159424 195033648 227539256 260044864 341308884 390067296 455078512 682617768 780134592 910157024 1365235536 1820314048 2730471072 5460942144