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1406313211660 = 2257372331165189
BaseRepresentation
bin10100011101101110110…
…011001010011100001100
311222102221101102011202221
4110131232303022130030
5141020112140233120
62554015032425124
7203413516031650
oct24355663123414
94872841364687
101406313211660
114a2461166695
121a86775481a4
13a27cb848086
144c0ccc6aa60
15268ac5160aa
hex1476ecca70c

1406313211660 has 96 divisors (see below), whose sum is σ = 3481252145280. Its totient is φ = 467119208448.

The previous prime is 1406313211657. The next prime is 1406313211669. The reversal of 1406313211660 is 661123136041.

It is not an unprimeable number, because it can be changed into a prime (1406313211669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624346 + ... + 1789534.

It is an arithmetic number, because the mean of its divisors is an integer number (36263043180).

Almost surely, 21406313211660 is an apocalyptic number.

1406313211660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406313211660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740626072640).

1406313211660 is an abundant number, since it is smaller than the sum of its proper divisors (2074938933620).

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

1406313211660 is a wasteful number, since it uses less digits than its factorization.

1406313211660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165475 (or 1165473 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 1406313211660 in words is "one trillion, four hundred six billion, three hundred thirteen million, two hundred eleven thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 233 259 370 466 518 740 932 1036 1165 1295 1631 2330 2590 3262 4660 5180 6524 8155 8621 16310 17242 32620 34484 43105 60347 86210 120694 172420 241388 301735 603470 1165189 1206940 2330378 4660756 5825945 8156323 11651890 16312646 23303780 32625292 40781615 43111993 81563230 86223986 163126460 172447972 215559965 271489037 301783951 431119930 542978074 603567902 862239860 1085956148 1207135804 1357445185 1508919755 1900423259 2714890370 3017839510 3800846518 5429780740 6035679020 7601693036 9502116295 10045094369 19004232590 20090188738 38008465180 40180377476 50225471845 70315660583 100450943690 140631321166 200901887380 281262642332 351578302915 703156605830 1406313211660