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142321452240 = 243511197273653
BaseRepresentation
bin1000010010001100000…
…1010000010011010000
3111121100121220212112210
42010203001100103100
54312433242432430
6145214230352120
713165600245432
oct2044301202320
9447317825483
10142321452240
11553a3827610
12236bb1bb640
1310561808586
146c61a82652
153a7e92e2b0
hex21230504d0

142321452240 has 160 divisors (see below), whose sum is σ = 483750216576. Its totient is φ = 34326906880.

The previous prime is 142321452233. The next prime is 142321452271. The reversal of 142321452240 is 42254123241.

It is a happy number.

142321452240 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 142321452198 and 142321452207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383254 + ... + 656906.

Almost surely, 2142321452240 is an apocalyptic number.

142321452240 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 142321452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241875108288).

142321452240 is an abundant number, since it is smaller than the sum of its proper divisors (341428764336).

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

142321452240 is a wasteful number, since it uses less digits than its factorization.

142321452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273877 (or 273871 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 142321452240 its reverse (42254123241), we get a palindrome (184575575481).

The spelling of 142321452240 in words is "one hundred forty-two billion, three hundred twenty-one million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 197 220 240 264 330 394 440 528 591 660 788 880 985 1182 1320 1576 1970 2167 2364 2640 2955 3152 3940 4334 4728 5910 6501 7880 8668 9456 10835 11820 13002 15760 17336 21670 23640 26004 32505 34672 43340 47280 52008 65010 86680 104016 130020 173360 260040 273653 520080 547306 820959 1094612 1368265 1641918 2189224 2736530 3010183 3283836 4104795 4378448 5473060 6020366 6567672 8209590 9030549 10946120 12040732 13135344 15050915 16419180 18061098 21892240 24081464 30101830 32838360 36122196 45152745 48162928 53909641 60203660 65676720 72244392 90305490 107819282 120407320 144488784 161728923 180610980 215638564 240814640 269548205 323457846 361221960 431277128 539096410 593006051 646915692 722443920 808644615 862554256 1078192820 1186012102 1293831384 1617289230 1779018153 2156385640 2372024204 2587662768 2965030255 3234578460 3558036306 4312771280 4744048408 5930060510 6469156920 7116072612 8895090765 9488096816 11860121020 12938313840 14232145224 17790181530 23720242040 28464290448 35580363060 47440484080 71160726120 142321452240