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1431201280470 = 235132766936809
BaseRepresentation
bin10100110100111010001…
…111100111000111010110
312001211011212201001212020
4110310322033213013112
5141422100011433340
63013252414234010
7205254334106223
oct24647217470726
95054155631766
101431201280470
11501a728a20a5
121b14624b5906
13a4c66b21200
144d3b03d894a
15273674789d0
hex14d3a3e71d6

1431201280470 has 96 divisors (see below), whose sum is σ = 3720015655200. Its totient is φ = 352240192512.

The previous prime is 1431201280463. The next prime is 1431201280507. The reversal of 1431201280470 is 740821021341.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38863426 + ... + 38900234.

It is an arithmetic number, because the mean of its divisors is an integer number (38750163075).

Almost surely, 21431201280470 is an apocalyptic number.

1431201280470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431201280470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860007827600).

1431201280470 is an abundant number, since it is smaller than the sum of its proper divisors (2288814374730).

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

1431201280470 is a wasteful number, since it uses less digits than its factorization.

1431201280470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44514 (or 44501 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 1431201280470 in words is "one trillion, four hundred thirty-one billion, two hundred one million, two hundred eighty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2535 5070 7669 15338 23007 36809 38345 46014 73618 76690 99697 110427 115035 184045 199394 220854 230070 299091 368090 478517 498485 552135 598182 957034 996970 1104270 1296061 1435551 1495455 2392585 2592122 2871102 2990910 3888183 4785170 6220721 6480305 7177755 7776366 12441442 12960610 14355510 18662163 19440915 31103605 37324326 38881830 62207210 93310815 186621630 282288221 564576442 846864663 1411441105 1693729326 2822882210 3669746873 4234323315 7339493746 8468646630 11009240619 18348734365 22018481238 36697468730 47706709349 55046203095 95413418698 110092406190 143120128047 238533546745 286240256094 477067093490 715600640235 1431201280470