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142544340 = 22335232499
BaseRepresentation
bin10000111111100…
…00110111010100
3100221020000002000
420133300313110
5242442404330
622051115300
73350415111
oct1037606724
9327200060
10142544340
117350a744
123b8a2b30
13236bb483
1414d07908
15c7aa560
hex87f0dd4

142544340 has 144 divisors (see below), whose sum is σ = 464520000. Its totient is φ = 36286272.

The previous prime is 142544333. The next prime is 142544341. The reversal of 142544340 is 43445241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142544341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285411 + ... + 285909.

Almost surely, 2142544340 is an apocalyptic number.

142544340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142544340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232260000).

142544340 is an abundant number, since it is smaller than the sum of its proper divisors (321975660).

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

142544340 is a wasteful number, since it uses less digits than its factorization.

142544340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 142544340 is about 11939.1934400947. The cubic root of 142544340 is about 522.3761326607.

Adding to 142544340 its reverse (43445241), we get a palindrome (185989581).

Subtracting from 142544340 its reverse (43445241), we obtain a palindrome (99099099).

It can be divided in two parts, 142544 and 340, that added together give a square (142884 = 3782).

The spelling of 142544340 in words is "one hundred forty-two million, five hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 499 529 540 621 690 828 998 1035 1058 1242 1380 1497 1587 1996 2070 2116 2484 2495 2645 2994 3105 3174 4140 4491 4761 4990 5290 5988 6210 6348 7485 7935 8982 9522 9980 10580 11477 12420 13473 14283 14970 15870 17964 19044 22455 22954 23805 26946 28566 29940 31740 34431 44910 45908 47610 53892 57132 57385 67365 68862 71415 89820 95220 103293 114770 134730 137724 142830 172155 206586 229540 263971 269460 285660 309879 344310 413172 516465 527942 619758 688620 791913 1032930 1055884 1239516 1319855 1549395 1583826 2065860 2375739 2639710 3098790 3167652 3959565 4751478 5279420 6197580 7127217 7919130 9502956 11878695 14254434 15838260 23757390 28508868 35636085 47514780 71272170 142544340