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1442700168 = 233713739049
BaseRepresentation
bin101010111111101…
…1101101110001000
310201112200202120120
41111333131232020
510423312401133
6355054023240
750515514640
oct12577355610
93645622516
101442700168
11680403a98
123431a7b20
1319cb7c350
14d9869520
15869cbab3
hex55fddb88

1442700168 has 128 divisors (see below), whose sum is σ = 4500384000. Its totient is φ = 375238656.

The previous prime is 1442700167. The next prime is 1442700173. The reversal of 1442700168 is 8610072441.

It is not an unprimeable number, because it can be changed into a prime (1442700163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154908 + ... + 163956.

It is an arithmetic number, because the mean of its divisors is an integer number (35159250).

Almost surely, 21442700168 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 1442700168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250192000).

1442700168 is an abundant number, since it is smaller than the sum of its proper divisors (3057683832).

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

1442700168 is a wasteful number, since it uses less digits than its factorization.

1442700168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9151 (or 9147 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1442700168 is about 37982.8930967613. The cubic root of 1442700168 is about 1129.9486148874.

The spelling of 1442700168 in words is "one billion, four hundred forty-two million, seven hundred thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 73 78 84 91 104 146 156 168 182 219 273 292 312 364 438 511 546 584 728 876 949 1022 1092 1533 1752 1898 2044 2184 2847 3066 3796 4088 5694 6132 6643 7592 9049 11388 12264 13286 18098 19929 22776 26572 27147 36196 39858 53144 54294 63343 72392 79716 108588 117637 126686 159432 190029 217176 235274 253372 352911 380058 470548 506744 660577 705822 760116 823459 941096 1321154 1411644 1520232 1646918 1981731 2470377 2642308 2823288 3293836 3963462 4624039 4940754 5284616 6587672 7926924 8587501 9248078 9881508 13872117 15853848 17175002 18496156 19763016 25762503 27744234 34350004 36992312 51525006 55488468 60112507 68700008 103050012 110976936 120225014 180337521 206100024 240450028 360675042 480900056 721350084 1442700168