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144544104512 = 26191934311429
BaseRepresentation
bin1000011010011110000…
…0000000000001000000
3111211002112020022021022
42012213200000001000
54332011242321022
6150222545445012
713304636421263
oct2064740000100
9454075208238
10144544104512
1156334419115
122401b640768
131082713b632
146dd2d38cda
153b5eb22c42
hex21a7800040

144544104512 has 112 divisors (see below), whose sum is σ = 304407417600. Its totient is φ = 67907911680.

The previous prime is 144544104487. The next prime is 144544104539. The reversal of 144544104512 is 215401445441.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101149814 + ... + 101151242.

Almost surely, 2144544104512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144544104512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152203708800).

144544104512 is an abundant number, since it is smaller than the sum of its proper divisors (159863313088).

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

144544104512 is a wasteful number, since it uses less digits than its factorization.

144544104512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

Adding to 144544104512 its reverse (215401445441), we get a palindrome (359945549953).

The spelling of 144544104512 in words is "one hundred forty-four billion, five hundred forty-four million, one hundred four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 193 304 386 431 608 772 862 1216 1429 1544 1724 2858 3088 3448 3667 5716 6176 6896 7334 8189 11432 12352 13792 14668 16378 22864 27151 27584 29336 32756 45728 54302 58672 65512 83183 91456 108604 117344 131024 166366 217208 234688 262048 275797 332732 434416 524096 551594 615899 665464 868832 1103188 1231798 1330928 1580477 1737664 2206376 2463596 2661856 3160954 4412752 4927192 5240143 5323712 6321908 8825504 9854384 10480286 11702081 12643816 17651008 19708768 20960572 23404162 25287632 39417536 41921144 46808324 50575264 83842288 93616648 101150528 118868507 167684576 187233296 237737014 335369152 374466592 475474028 748933184 950948056 1901896112 2258501633 3803792224 4517003266 7607584448 9034006532 18068013064 36136026128 72272052256 144544104512