Search a number
-
+
3212377025445 = 3257213719315507
BaseRepresentation
bin101110101111110000100…
…101110110101110100101
3102101002201002002222222100
4232233300211312232211
5410112422004303240
610455425020122313
7451041461121300
oct56576045665645
912332632088870
103212377025445
1110293a80a2325
1243a6b6696399
131a3c0613cb73
14b16a0ad9b37
15588645aee30
hex2ebf0976ba5

3212377025445 has 144 divisors (see below), whose sum is σ = 6529044045888. Its totient is φ = 1456776599040.

The previous prime is 3212377025441. The next prime is 3212377025471. The reversal of 3212377025445 is 5445207732123.

3212377025445 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 37 + 70 + 2 + 544 + 5 = 666.

It is not a de Polignac number, because 3212377025445 - 22 = 3212377025441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3212377025445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212377025441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 583323382 + ... + 583328888.

It is an arithmetic number, because the mean of its divisors is an integer number (45340583652).

Almost surely, 23212377025445 is an apocalyptic number.

3212377025445 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3212377025445 is an abundant number, since it is smaller than the sum of its proper divisors (3316667020443).

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

3212377025445 is a wasteful number, since it uses less digits than its factorization.

3212377025445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600 (or 7590 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 3212377025445 in words is "three trillion, two hundred twelve billion, three hundred seventy-seven million, twenty-five thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 137 147 245 315 411 441 685 735 959 1233 1931 2055 2205 2877 4795 5507 5793 6165 6713 8631 9655 13517 14385 16521 17379 20139 27535 28965 33565 38549 40551 43155 49563 60417 67585 82605 86895 94619 100695 115647 121653 192745 202755 247815 264547 269843 283857 302085 346941 473095 578235 608265 754459 793641 809529 851571 1322735 1349215 1419285 1734705 1851829 2263377 2380923 2428587 3772295 3968205 4047645 4257855 5281213 5555487 6790131 9259145 10634017 11316885 11904615 12142935 12962803 15843639 16666461 26406065 27777435 31902051 33950655 36968491 38888409 47530917 53170085 64814015 74438119 79218195 83332305 95706153 110905473 116665227 159510255 184842455 194442045 223314357 237654585 332716419 372190595 478530765 521066833 554527365 583326135 669943071 1116571785 1456860329 1563200499 1663582095 2605334165 3349715355 4370580987 4689601497 7284301645 7816002495 10198022303 13111742961 21852904935 23448007485 30594066909 50990111515 65558714805 71386156121 91782200727 152970334545 214158468363 356930780605 458911003635 642475405089 1070792341815 3212377025445