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144210220032 = 2103291618739
BaseRepresentation
bin1000011001001110011…
…0010101010000000000
3111210020020222012212110
42012103212111100000
54330320304020112
6150125501255320
713263443434164
oct2062346252000
9453206865773
10144210220032
1156182a0082a
1223b47864540
13107a2c08758
146da0864ca4
153b4066e13c
hex2193995400

144210220032 has 88 divisors (see below), whose sum is σ = 397627293600. Its totient is φ = 46412455936.

The previous prime is 144210220019. The next prime is 144210220043. The reversal of 144210220032 is 230022012441.

It is a junction number, because it is equal to n+sod(n) for n = 144210219990 and 144210220008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720282 + ... + 898457.

Almost surely, 2144210220032 is an apocalyptic number.

144210220032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144210220032 is an abundant number, since it is smaller than the sum of its proper divisors (253417073568).

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

144210220032 is a wasteful number, since it uses less digits than its factorization.

144210220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618791 (or 1618773 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 144210220032 its reverse (230022012441), we get a palindrome (374232232473).

The spelling of 144210220032 in words is "one hundred forty-four billion, two hundred ten million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2784 3072 3712 5568 7424 11136 14848 22272 29696 44544 89088 1618739 3237478 4856217 6474956 9712434 12949912 19424868 25899824 38849736 46943431 51799648 77699472 93886862 103599296 140830293 155398944 187773724 207198592 281660586 310797888 375547448 414397184 563321172 621595776 751094896 828794368 1126642344 1243191552 1502189792 1657588736 2253284688 2486383104 3004379584 4506569376 4972766208 6008759168 9013138752 12017518336 18026277504 24035036672 36052555008 48070073344 72105110016 144210220032