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42723236416 = 267236912
BaseRepresentation
bin100111110010100000…
…001101101001000000
311002021110022021120111
4213302200031221000
51144444122031131
631343215121104
73041502342400
oct476240155100
9132243267514
1042723236416
1117134175953
128343b13194
13404b313563
1420d412c800
1511a0b0bab1
hex9f280da40

42723236416 has 63 divisors (see below), whose sum is σ = 98647105347. Its totient is φ = 18304997760.

The previous prime is 42723236377. The next prime is 42723236461. The reversal of 42723236416 is 61463232724.

The square root of 42723236416 is 206696.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11573131 + ... + 11576821.

It is an arithmetic number, because the mean of its divisors is an integer number (1565827069).

Almost surely, 242723236416 is an apocalyptic number.

42723236416 is the 206696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42723236416

42723236416 is an abundant number, since it is smaller than the sum of its proper divisors (55923868931).

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

42723236416 is an frugal number, since it uses more digits than its factorization.

42723236416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7408 (or 3700 counting only the distinct ones).

The product of its digits is 290304, while the sum is 40.

The spelling of 42723236416 in words is "forty-two billion, seven hundred twenty-three million, two hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 3691 7382 14764 25837 29528 51674 59056 103348 118112 180859 206696 236224 361718 413392 723436 826784 1446872 1653568 2893744 5787488 11574976 13623481 27246962 54493924 95364367 108987848 190728734 217975696 381457468 435951392 667550569 762914936 871902784 1335101138 1525829872 2670202276 3051659744 5340404552 6103319488 10680809104 21361618208 42723236416