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144431303424 = 2832331263761
BaseRepresentation
bin1000011010000011000…
…1101100101100000000
3111210210122222102021020
42012200301230230000
54331243403202144
6150203440025440
713302066552162
oct2064061545400
9453718872236
10144431303424
1156286783a81
1223ba9902280
1310809965325
146dc1d74932
153b54c90419
hex21a0c6cb00

144431303424 has 144 divisors (see below), whose sum is σ = 414051477504. Its totient is φ = 44564889600.

The previous prime is 144431303399. The next prime is 144431303503. The reversal of 144431303424 is 424303134441.

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 15 ways as a sum of consecutive naturals, for example, 415704 + ... + 679464.

Almost surely, 2144431303424 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 144431303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207025738752).

144431303424 is an abundant number, since it is smaller than the sum of its proper divisors (269620174080).

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

144431303424 is a wasteful number, since it uses less digits than its factorization.

144431303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263834 (or 263820 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 144431303424 its reverse (424303134441), we get a palindrome (568734437865).

The spelling of 144431303424 in words is "one hundred forty-four billion, four hundred thirty-one million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 128 138 184 186 192 248 256 276 368 372 384 496 552 713 736 744 768 992 1104 1426 1472 1488 1984 2139 2208 2852 2944 2976 3968 4278 4416 5704 5888 5952 7936 8556 8832 11408 11904 17112 17664 22816 23808 34224 45632 68448 91264 136896 182528 263761 273792 527522 547584 791283 1055044 1582566 2110088 3165132 4220176 6066503 6330264 8176591 8440352 12133006 12660528 16353182 16880704 18199509 24266012 24529773 25321056 32706364 33761408 36399018 48532024 49059546 50642112 65412728 67522816 72798036 97064048 98119092 101284224 130825456 145596072 188061593 194128096 196238184 202568448 261650912 291192144 376123186 388256192 392476368 523301824 564184779 582384288 752246372 776512384 784952736 1046603648 1128369558 1164768576 1504492744 1553024768 1569905472 2093207296 2256739116 2329537152 3008985488 3139810944 4513478232 4659074304 6017970976 6279621888 9026956464 12035941952 18053912928 24071883904 36107825856 48143767808 72215651712 144431303424