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142424402213432 = 231931277199354751
BaseRepresentation
bin100000011000100011000011…
…111001101011101000111000
3200200021122021110201122100202
4200120203003321223220320
5122131440133431312212
61222524511144221332
741666552313056423
oct4030430371535070
9620248243648322
10142424402213432
1141420939064569
1213b8297816a848
136161743017341
142725540b589ba
15116ebbb3530c2
hex8188c3e6ba38

142424402213432 has 128 divisors (see below), whose sum is σ = 291367542374400. Its totient is φ = 65018401920000.

The previous prime is 142424402213393. The next prime is 142424402213453. The reversal of 142424402213432 is 234312204424241.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2601284057 + ... + 2601338807.

It is an arithmetic number, because the mean of its divisors is an integer number (2276308924800).

Almost surely, 2142424402213432 is an apocalyptic number.

It is an amenable number.

142424402213432 is an abundant number, since it is smaller than the sum of its proper divisors (148943140160968).

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

142424402213432 is a wasteful number, since it uses less digits than its factorization.

142424402213432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57077 (or 57073 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 142424402213432 its reverse (234312204424241), we get a palindrome (376736606637673).

The spelling of 142424402213432 in words is "one hundred forty-two trillion, four hundred twenty-four billion, four hundred two million, two hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 19 31 38 62 76 124 152 248 277 554 589 1108 1178 1993 2216 2356 3986 4712 5263 7972 8587 10526 15944 17174 21052 34348 37867 42104 54751 61783 68696 75734 109502 123566 151468 163153 219004 247132 302936 326306 438008 494264 552061 652612 1040269 1104122 1173877 1305224 1697281 2080538 2208244 2347754 3394562 4161076 4416488 4695508 6789124 8322152 9391016 10489159 13578248 15166027 17113891 20978318 30332054 32248339 34227782 41956636 60664108 64496678 68455564 83913272 109118743 121328216 128993356 136911128 218237486 257986712 288154513 325163929 436474972 470146837 576309026 650327858 872949944 940293674 1152618052 1300655716 1880587348 2073256117 2305236104 2601311432 3382681033 3761174696 4146512234 6765362066 8293024468 8932789903 13530724132 16586048936 17865579806 27061448264 30225891811 35731159612 60451783622 64270939627 71462319224 120903567244 128541879254 241807134488 257083758508 514167517016 574291944409 937002646141 1148583888818 1874005292282 2297167777636 3748010584564 4594335555272 7496021169128 17803050276679 35606100553358 71212201106716 142424402213432