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142390624684 = 227211106961781
BaseRepresentation
bin1000010010011100100…
…1001000000110101100
3111121112110002012022011
42010213021020012230
54313103444442214
6145225141131004
713200400224400
oct2044711100654
9447473065264
10142390624684
1155429882920
122371a3b9a64
1310572c47509
146c6ad2b100
153a85a44ac4
hex21272481ac

142390624684 has 72 divisors (see below), whose sum is σ = 316519071120. Its totient is φ = 55424073600.

The previous prime is 142390624669. The next prime is 142390624687. The reversal of 142390624684 is 486426093241.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (142390624687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2273874 + ... + 2335654.

It is an arithmetic number, because the mean of its divisors is an integer number (4396098210).

Almost surely, 2142390624684 is an apocalyptic number.

142390624684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142390624684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158259535560).

142390624684 is an abundant number, since it is smaller than the sum of its proper divisors (174128446436).

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

142390624684 is a wasteful number, since it uses less digits than its factorization.

142390624684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62879 (or 62870 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

The spelling of 142390624684 in words is "one hundred forty-two billion, three hundred ninety million, six hundred twenty-four thousand, six hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1069 1078 2138 2156 4276 7483 11759 14966 23518 29932 47036 52381 61781 82313 104762 123562 164626 209524 247124 329252 432467 576191 679591 864934 1152382 1359182 1729868 2304764 2718364 3027269 4757137 6054538 9514274 12109076 19028548 33299959 66043889 66599918 132087778 133199836 264175556 462307223 726482779 924614446 1452965558 1849228892 2905931116 3236150561 5085379453 6472301122 10170758906 12944602244 20341517812 35597656171 71195312342 142390624684