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1014121442412 = 22321310739201781
BaseRepresentation
bin11101100000111100101…
…10010010110001101100
310120221121212102000201200
432300132112102301230
5113103410042124122
62053514142005500
7133160606014041
oct16603626226154
93527555360650
101014121442412
113610a5130661
12144663276890
1374828ab8020
1437125ad31c8
151b5a63875ac
hexec1e592c6c

1014121442412 has 72 divisors (see below), whose sum is σ = 2760934678320. Its totient is φ = 312006764160.

The previous prime is 1014121442393. The next prime is 1014121442429. The reversal of 1014121442412 is 2142441214101.

1014121442412 is a `hidden beast` number, since 1 + 0 + 1 + 412 + 1 + 4 + 4 + 241 + 2 = 666.

1014121442412 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4924962 + ... + 5126742.

Almost surely, 21014121442412 is an apocalyptic number.

1014121442412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1014121442412 is an abundant number, since it is smaller than the sum of its proper divisors (1746813235908).

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

1014121442412 is a wasteful number, since it uses less digits than its factorization.

1014121442412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212543 (or 212538 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 1014121442412 its reverse (2142441214101), we get a palindrome (3156562656513).

The spelling of 1014121442412 in words is "one trillion, fourteen billion, one hundred twenty-one million, four hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 10739 21478 32217 42956 64434 96651 128868 139607 193302 201781 279214 386604 403562 418821 558428 605343 807124 837642 1210686 1256463 1675284 1816029 2421372 2512926 2623153 3632058 5025852 5246306 7264116 7869459 10492612 15738918 23608377 31477836 47216754 94433508 2166926159 4333852318 6500778477 8667704636 13001556954 19502335431 26003113908 28170040067 39004670862 56340080134 78009341724 84510120201 112680160268 169020240402 253530360603 338040480804 507060721206 1014121442412