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142220432301440 = 275222219425471
BaseRepresentation
bin100000010101100101000110…
…010110001101110110000000
3200122120010210110100112101212
4200111211012112031312000
5122120114421132121230
61222251055321145252
741646041615322113
oct4025450626156600
9618503713315355
10142220432301440
114135238a39a769
1213b4b33302b228
1361484383ac81c
14271971171657a
15116972e5ed895
hex81594658dd80

142220432301440 has 32 divisors (see below), whose sum is σ = 339995720972160. Its totient is φ = 56888172920320.

The previous prime is 142220432301413. The next prime is 142220432301481. The reversal of 142220432301440 is 44103234022241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 142220432301397 and 142220432301406.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 111109712096 + ... + 111109713375.

It is an arithmetic number, because the mean of its divisors is an integer number (10624866280380).

Almost surely, 2142220432301440 is an apocalyptic number.

142220432301440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142220432301440 is an abundant number, since it is smaller than the sum of its proper divisors (197775288670720).

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

142220432301440 is an equidigital number, since it uses as much as digits as its factorization.

142220432301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222219425490 (or 222219425478 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 142220432301440 its reverse (44103234022241), we get a palindrome (186323666323681).

The spelling of 142220432301440 in words is "one hundred forty-two trillion, two hundred twenty billion, four hundred thirty-two million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 222219425471 444438850942 888877701884 1111097127355 1777755403768 2222194254710 3555510807536 4444388509420 7111021615072 8888777018840 14222043230144 17777554037680 28444086460288 35555108075360 71110216150720 142220432301440