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421212413440 = 2957131808089
BaseRepresentation
bin1100010000100100011…
…01110101111000000000
31111021020000110121211001
412020102031311320000
523400120334212230
6521300255501344
742301015303660
oct6102215657000
91437200417731
10421212413440
111526a94765a5
1269773227854
1330949265680
141655b4ca1a0
15ae53d030ca
hex6212375e00

421212413440 has 160 divisors (see below), whose sum is σ = 1242982319040. Its totient is φ = 133306712064.

The previous prime is 421212413411. The next prime is 421212413443. The reversal of 421212413440 is 44314212124.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 421212413399 and 421212413408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421212413443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671085 + ... + 1137004.

It is an arithmetic number, because the mean of its divisors is an integer number (7768639494).

Almost surely, 2421212413440 is an apocalyptic number.

421212413440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421212413440 is an abundant number, since it is smaller than the sum of its proper divisors (821769905600).

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

421212413440 is a wasteful number, since it uses less digits than its factorization.

421212413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808132 (or 1808116 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 421212413440 its reverse (44314212124), we get a palindrome (465526625564).

The spelling of 421212413440 in words is "four hundred twenty-one billion, two hundred twelve million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 448 455 512 520 560 640 728 832 896 910 1040 1120 1280 1456 1664 1792 1820 2080 2240 2560 2912 3328 3584 3640 4160 4480 5824 6656 7280 8320 8960 11648 14560 16640 17920 23296 29120 33280 46592 58240 116480 232960 1808089 3616178 7232356 9040445 12656623 14464712 18080890 23505157 25313246 28929424 36161780 47010314 50626492 57858848 63283115 72323560 94020628 101252984 115717696 117525785 126566230 144647120 164536099 188041256 202505968 231435392 235051570 253132460 289294240 329072198 376082512 405011936 462870784 470103140 506264920 578588480 658144396 752165024 810023872 822680495 925741568 940206280 1012529840 1157176960 1316288792 1504330048 1620047744 1645360990 1880412560 2025059680 2314353920 2632577584 3008660096 3240095488 3290721980 3760825120 4050119360 4628707840 5265155168 6017320192 6480190976 6581443960 7521650240 8100238720 10530310336 12034640384 13162887920 15043300480 16200477440 21060620672 26325775840 30086600960 32400954880 42121241344 52651551680 60173201920 84242482688 105303103360 210606206720 421212413440