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1416143335140 = 2232510177895673
BaseRepresentation
bin10100100110111000101…
…110000110111011100100
312000101022110112012010100
4110212320232012323210
5141200230143211030
63002322310224100
7204212231511042
oct24467056067344
95011273465110
101416143335140
114a6645aa2986
121aa55b655030
13a37072974a1
144c78260d392
1526c8551a360
hex149b8b86ee4

1416143335140 has 72 divisors (see below), whose sum is σ = 4338165876408. Its totient is φ = 373899225600.

The previous prime is 1416143335129. The next prime is 1416143335147. The reversal of 1416143335140 is 415333416141.

1416143335140 is a `hidden beast` number, since 1 + 4 + 1 + 614 + 3 + 3 + 35 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 424019764224 + 992123570916 = 651168^2 + 996054^2 .

It is a super-2 number, since 2×14161433351402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1416143335095 and 1416143335104.

It is not an unprimeable number, because it can be changed into a prime (1416143335147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38929657 + ... + 38966016.

It is an arithmetic number, because the mean of its divisors is an integer number (60252303839).

Almost surely, 21416143335140 is an apocalyptic number.

1416143335140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1416143335140 is an abundant number, since it is smaller than the sum of its proper divisors (2922022541268).

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

1416143335140 is a wasteful number, since it uses less digits than its factorization.

1416143335140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77895789 (or 77895784 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1416143335140 in words is "one trillion, four hundred sixteen billion, one hundred forty-three million, three hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 77895673 155791346 233687019 311582692 389478365 467374038 701061057 778956730 934748076 1168435095 1402122114 1557913460 2336870190 2804244228 3505305285 4673740380 7010610570 7867462973 14021221140 15734925946 23602388919 31469851892 39337314865 47204777838 70807166757 78674629730 94409555676 118011944595 141614333514 157349259460 236023889190 283228667028 354035833785 472047778380 708071667570 1416143335140