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144151007 = 711131743197
BaseRepresentation
bin10001001011110…
…01000111011111
3101001020122000012
420211321013133
5243400313012
622145353435
73400156220
oct1045710737
9331218005
10144151007
1174407870
124033887b
1323b31870
1415205247
15c9c6622
hex89791df

144151007 has 64 divisors (see below), whose sum is σ = 210760704. Its totient is φ = 94832640.

The previous prime is 144151003. The next prime is 144151009. The reversal of 144151007 is 700151441.

It is a happy number.

It is not a de Polignac number, because 144151007 - 22 = 144151003 is a prime.

It is a super-2 number, since 2×1441510072 = 41559025638228098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144151003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 731633 + ... + 731829.

It is an arithmetic number, because the mean of its divisors is an integer number (3293136).

Almost surely, 2144151007 is an apocalyptic number.

144151007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

144151007 is a deficient number, since it is larger than the sum of its proper divisors (66609697).

144151007 is a wasteful number, since it uses less digits than its factorization.

144151007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 144151007 is about 12006.2903096668. The cubic root of 144151007 is about 524.3314325642.

It can be divided in two parts, 144 and 151007, that added together give a palindrome (151151).

The spelling of 144151007 in words is "one hundred forty-four million, one hundred fifty-one thousand, seven".

Divisors: 1 7 11 13 17 43 77 91 119 143 187 197 221 301 473 559 731 1001 1309 1379 1547 2167 2431 2561 3311 3349 3913 5117 6149 8041 8471 9503 15169 17017 17927 23443 28171 36839 43043 43537 56287 59297 66521 93181 104533 110123 144007 197197 257873 304759 478907 652267 731731 770861 1008049 1211353 1584077 1872091 3352349 8479471 11088539 13104637 20593001 144151007