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142149421424 = 24171961450913
BaseRepresentation
bin1000010001100011000…
…1000000100101110000
3111120220122012210122002
42010120301000211300
54312110222441144
6145145203233132
713161411101033
oct2043061004560
9446818183562
10142149421424
115531570828a
12236716787a8
1310534c94aaa
146c46ca101a
153a6e79c14e
hex2118c40970

142149421424 has 80 divisors (see below), whose sum is σ = 311996414880. Its totient is φ = 62334074880.

The previous prime is 142149421409. The next prime is 142149421429. The reversal of 142149421424 is 424124941241.

It is a happy number.

It is a super-2 number, since 2×1421494214242 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142149421429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89792 + ... + 540704.

It is an arithmetic number, because the mean of its divisors is an integer number (3899955186).

Almost surely, 2142149421424 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 142149421424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155998207440).

142149421424 is an abundant number, since it is smaller than the sum of its proper divisors (169846993456).

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

142149421424 is a wasteful number, since it uses less digits than its factorization.

142149421424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451018 (or 451012 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The spelling of 142149421424 in words is "one hundred forty-two billion, one hundred forty-nine million, four hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 19 34 38 61 68 76 122 136 152 244 272 304 323 488 646 976 1037 1159 1292 2074 2318 2584 4148 4636 5168 8296 9272 16592 18544 19703 39406 78812 157624 315248 450913 901826 1803652 3607304 7214608 7665521 8567347 15331042 17134694 27505693 30662084 34269388 55011386 61324168 68538776 110022772 122648336 137077552 145644899 220045544 291289798 440091088 467596781 522608167 582579596 935193562 1045216334 1165159192 1870387124 2090432668 2330318384 3740774248 4180865336 7481548496 8361730672 8884338839 17768677678 35537355356 71074710712 142149421424