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142032032440 = 23573391112437
BaseRepresentation
bin1000010001000111000…
…1001101001010111000
3111120121110022211012221
42010101301031022320
54311340200014230
6145125411213424
713155454233064
oct2042161151270
9446543284187
10142032032440
115526541a1a1
122363a2a7274
131051687345c
146c35464aa4
153a6431027a
hex2111c4d2b8

142032032440 has 64 divisors (see below), whose sum is σ = 324058656960. Its totient is φ = 56015723520.

The previous prime is 142032032383. The next prime is 142032032449. The reversal of 142032032440 is 44230230241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142032032449) 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, 11413902 + ... + 11426338.

It is an arithmetic number, because the mean of its divisors is an integer number (5063416515).

Almost surely, 2142032032440 is an apocalyptic number.

142032032440 is a gapful number since it is divisible by the number (10) 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 142032032440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162029328480).

142032032440 is an abundant number, since it is smaller than the sum of its proper divisors (182026624520).

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

142032032440 is a wasteful number, since it uses less digits than its factorization.

142032032440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16432 (or 16428 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 142032032440 its reverse (44230230241), we get a palindrome (186262262681).

The spelling of 142032032440 in words is "one hundred forty-two billion, thirty-two million, thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 3911 7822 12437 15644 19555 24874 31288 39110 49748 62185 78220 99496 124370 156440 248740 285503 497480 571006 907901 1142012 1427515 1815802 2284024 2855030 3631604 4539505 5710060 7263208 9079010 11420120 18158020 36316040 48641107 97282214 194564428 243205535 389128856 486411070 972822140 1945644280 3550800811 7101601622 14203203244 17754004055 28406406488 35508008110 71016016220 142032032440