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1284412412040 = 233550921028363
BaseRepresentation
bin10010101100001100111…
…100100001000010001000
311112210021220112221101120
4102230030330201002020
5132020434034141130
62422014555315240
7161536636236462
oct22541474410210
94483256487346
101284412412040
1145579735a69a
12188b1714bb20
139417290a204
14462472cd132
1523625745910
hex12b0cf21088

1284412412040 has 64 divisors (see below), whose sum is σ = 3860807630400. Its totient is φ = 341837052672.

The previous prime is 1284412412021. The next prime is 1284412412047. The reversal of 1284412412040 is 402142144821.

It is a junction number, because it is equal to n+sod(n) for n = 1284412411992 and 1284412412010.

It is not an unprimeable number, because it can be changed into a prime (1284412412047) 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, 10453102 + ... + 10575261.

It is an arithmetic number, because the mean of its divisors is an integer number (60325119225).

Almost surely, 21284412412040 is an apocalyptic number.

1284412412040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1284412412040 is an abundant number, since it is smaller than the sum of its proper divisors (2576395218360).

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

1284412412040 is a wasteful number, since it uses less digits than its factorization.

1284412412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21028886 (or 21028882 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

Adding to 1284412412040 its reverse (402142144821), we get a palindrome (1686554556861).

The spelling of 1284412412040 in words is "one trillion, two hundred eighty-four billion, four hundred twelve million, four hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 509 1018 1527 2036 2545 3054 4072 5090 6108 7635 10180 12216 15270 20360 30540 61080 21028363 42056726 63085089 84113452 105141815 126170178 168226904 210283630 252340356 315425445 420567260 504680712 630850890 841134520 1261701780 2523403560 10703436767 21406873534 32110310301 42813747068 53517183835 64220620602 85627494136 107034367670 128441241204 160551551505 214068735340 256882482408 321103103010 428137470680 642206206020 1284412412040