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141430149184 = 2629216212
BaseRepresentation
bin1000001110110111100…
…1001101000001000000
3111112001111202222121111
42003231321031001000
54304122104233214
6144545550533104
713134525301312
oct2035571150100
9445044688544
10141430149184
1154a866a5415
12234b0807194
131044bc6860c
146bb954b7b2
153a2b56e5c4
hex20ede4d040

141430149184 has 63 divisors (see below), whose sum is σ = 290841185271. Its totient is φ = 68234503680.

The previous prime is 141430149173. The next prime is 141430149199. The reversal of 141430149184 is 481941034141.

The square root of 141430149184 is 376072.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12979589184 + 128450560000 = 113928^2 + 358400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87247894 + ... + 87249514.

Almost surely, 2141430149184 is an apocalyptic number.

141430149184 is the 376072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141430149184

141430149184 is an abundant number, since it is smaller than the sum of its proper divisors (149411036087).

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

141430149184 is an frugal number, since it uses more digits than its factorization.

141430149184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 141430149184 in words is "one hundred forty-one billion, four hundred thirty million, one hundred forty-nine thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 841 928 1621 1682 1856 3242 3364 6484 6728 12968 13456 25936 26912 47009 51872 53824 94018 103744 188036 376072 752144 1363261 1504288 2627641 2726522 3008576 5255282 5453044 10510564 10906088 21021128 21812176 42042256 43624352 76201589 84084512 87248704 152403178 168169024 304806356 609612712 1219225424 2209846081 2438450848 4419692162 4876901696 8839384324 17678768648 35357537296 70715074592 141430149184