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1402013343120 = 2435131932328307
BaseRepresentation
bin10100011001101110100…
…000011101110110010000
311222000211201110020000120
4110121232200131312100
5140432310403434440
62552024231350240
7203202124534035
oct24315640356620
94860751406016
101402013343120
114a0654a88825
121a7877522380
13a2294a73670
144bc01b7938c
1526709caadd0
hex1466e81dd90

1402013343120 has 160 divisors (see below), whose sum is σ = 4704821288832. Its totient is φ = 343322689536.

The previous prime is 1402013343053. The next prime is 1402013343149. The reversal of 1402013343120 is 213433102041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561994 + ... + 1766313.

Almost surely, 21402013343120 is an apocalyptic number.

1402013343120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1402013343120 is an abundant number, since it is smaller than the sum of its proper divisors (3302807945712).

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

1402013343120 is a wasteful number, since it uses less digits than its factorization.

1402013343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328529 (or 2328523 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1402013343120 its reverse (213433102041), we get a palindrome (1615446445161).

The spelling of 1402013343120 in words is "one trillion, four hundred two billion, thirteen million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 193 195 208 240 260 312 386 390 520 579 624 772 780 965 1040 1158 1544 1560 1930 2316 2509 2895 3088 3120 3860 4632 5018 5790 7527 7720 9264 10036 11580 12545 15054 15440 20072 23160 25090 30108 37635 40144 46320 50180 60216 75270 100360 120432 150540 200720 301080 602160 2328307 4656614 6984921 9313228 11641535 13969842 18626456 23283070 27939684 30267991 34924605 37252912 46566140 55879368 60535982 69849210 90803973 93132280 111758736 121071964 139698420 151339955 181607946 186264560 242143928 279396840 302679910 363215892 449363251 454019865 484287856 558793680 605359820 726431784 898726502 908039730 1210719640 1348089753 1452863568 1797453004 1816079460 2246816255 2421439280 2696179506 3594906008 3632158920 4493632510 5392359012 5841722263 6740448765 7189812016 7264317840 8987265020 10784718024 11683444526 13480897530 17525166789 17974530040 21569436048 23366889052 26961795060 29208611315 35050333578 35949060080 46733778104 53923590120 58417222630 70100667156 87625833945 93467556208 107847180240 116834445260 140201334312 175251667890 233668890520 280402668624 350503335780 467337781040 701006671560 1402013343120