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5142336640 = 27571147843
BaseRepresentation
bin1001100101000000…
…11101010010000000
3111021101012202201121
410302200131102000
541012414233030
62210134042024
7241301066050
oct46240352200
914241182647
105142336640
1121a97956a1
12bb61a9314
1363c4a665c
1436ad53560
152016c047a
hex13281d480

5142336640 has 64 divisors (see below), whose sum is σ = 14049610560. Its totient is φ = 1763085312.

The previous prime is 5142336623. The next prime is 5142336649. The reversal of 5142336640 is 466332415.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×51423366402 = 52887252238172979200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5142336596 and 5142336605.

It is not an unprimeable number, because it can be changed into a prime (5142336649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 569442 + ... + 578401.

It is an arithmetic number, because the mean of its divisors is an integer number (219525165).

Almost surely, 25142336640 is an apocalyptic number.

It is an amenable number.

5142336640 is an abundant number, since it is smaller than the sum of its proper divisors (8907273920).

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

5142336640 is a wasteful number, since it uses less digits than its factorization.

5142336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147869 (or 1147857 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 5142336640 is about 71710.0874354508. The cubic root of 5142336640 is about 1726.0505135135.

The spelling of 5142336640 in words is "five billion, one hundred forty-two million, three hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 1147843 2295686 4591372 5739215 8034901 9182744 11478430 16069802 18365488 22956860 32139604 36730976 40174505 45913720 64279208 73461952 80349010 91827440 128558416 146923904 160698020 183654880 257116832 321396040 367309760 514233664 642792080 734619520 1028467328 1285584160 2571168320 5142336640