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144927921636 = 22326729472
BaseRepresentation
bin1000011011111001100…
…0001001010111100100
3111212002021110020101100
42012332120021113210
54333303021443021
6150325020200100
713320310002531
oct2067630112744
9455067406340
10144927921636
1156511040653
1224108099030
1310888805064
14702bcc9d88
153b8368b626
hex21be6095e4

144927921636 has 81 divisors (see below), whose sum is σ = 372288157059. Its totient is φ = 47538021168.

The previous prime is 144927921581. The next prime is 144927921641. The reversal of 144927921636 is 636129729441.

The square root of 144927921636 is 380694.

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

144927921636 is a `hidden beast` number, since 1 + 4 + 492 + 7 + 92 + 1 + 63 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 153038515 + ... + 153039461.

Almost surely, 2144927921636 is an apocalyptic number.

144927921636 is the 380694-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144927921636

144927921636 is an abundant number, since it is smaller than the sum of its proper divisors (227360235423).

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

144927921636 is an frugal number, since it uses more digits than its factorization.

144927921636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 1019 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 144927921636 in words is "one hundred forty-four billion, nine hundred twenty-seven million, nine hundred twenty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 947 1206 1894 2412 2841 3788 4489 5682 8523 8978 11364 13467 17046 17956 26934 34092 40401 53868 63449 80802 126898 161604 190347 253796 380694 571041 761388 896809 1142082 1793618 2284164 2690427 3587236 4251083 5380854 8071281 8502166 10761708 12753249 16142562 17004332 25506498 32285124 38259747 51012996 60086203 76519494 120172406 153038988 180258609 240344812 360517218 540775827 721034436 1081551654 2163103308 4025775601 8051551202 12077326803 16103102404 24154653606 36231980409 48309307212 72463960818 144927921636