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331142062240 = 25511188148899
BaseRepresentation
bin1001101000110011001…
…10101110000010100000
31011122201212012200222201
410310121212232002200
520411134331442430
6412042523342544
732632003041613
oct4643146560240
91148655180881
10331142062240
11118489074620
1254216981a54
13252c39b0a82
141205511817a
1589316cb8ca
hex4d199ae0a0

331142062240 has 48 divisors (see below), whose sum is σ = 853443410400. Its totient is φ = 120415294720.

The previous prime is 331142062231. The next prime is 331142062249. The reversal of 331142062240 is 42260241133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (331142062231) and next prime (331142062249).

It is a junction number, because it is equal to n+sod(n) for n = 331142062199 and 331142062208.

It is not an unprimeable number, because it can be changed into a prime (331142062249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94072690 + ... + 94076209.

It is an arithmetic number, because the mean of its divisors is an integer number (17780071050).

Almost surely, 2331142062240 is an apocalyptic number.

It is an amenable number.

331142062240 is an abundant number, since it is smaller than the sum of its proper divisors (522301348160).

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

331142062240 is a wasteful number, since it uses less digits than its factorization.

331142062240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188148925 (or 188148917 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 331142062240 in words is "three hundred thirty-one billion, one hundred forty-two million, sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 188148899 376297798 752595596 940744495 1505191192 1881488990 2069637889 3010382384 3762977980 4139275778 6020764768 7525955960 8278551556 10348189445 15051911920 16557103112 20696378890 30103823840 33114206224 41392757780 66228412448 82785515560 165571031120 331142062240