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142288761552 = 2437579173127
BaseRepresentation
bin1000010010000100010…
…0100011001011010000
3111121021100102000100120
42010201010203023100
54312401410332202
6145211101550240
713165022342340
oct2044104431320
9447240360316
10142288761552
1155387329613
12236b0275380
1310557b00982
146c5b5b2d20
153a7bb230bc
hex21211232d0

142288761552 has 80 divisors (see below), whose sum is σ = 420168916992. Its totient is φ = 40646355840.

The previous prime is 142288761521. The next prime is 142288761557. The reversal of 142288761552 is 255167882241.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 142288761495 and 142288761504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142288761557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1909213 + ... + 1982339.

Almost surely, 2142288761552 is an apocalyptic number.

142288761552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142288761552 is an abundant number, since it is smaller than the sum of its proper divisors (277880155440).

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

142288761552 is a wasteful number, since it uses less digits than its factorization.

142288761552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78936 (or 78930 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 51.

It can be divided in two parts, 142288 and 761552, that added together give a triangular number (903840 = T1344).

The spelling of 142288761552 in words is "one hundred forty-two billion, two hundred eighty-eight million, seven hundred sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 5791 11582 17373 23164 34746 40537 46328 69492 73127 81074 92656 121611 138984 146254 162148 219381 243222 277968 292508 324296 438762 486444 511889 585016 648592 877524 972888 1023778 1170032 1535667 1755048 1945776 2047556 3071334 3510096 4095112 6142668 8190224 12285336 24570672 423478457 846956914 1270435371 1693913828 2540870742 2964349199 3387827656 5081741484 5928698398 6775655312 8893047597 10163482968 11857396796 17786095194 20326965936 23714793592 35572190388 47429587184 71144380776 142288761552