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424421141200 = 24527197977841
BaseRepresentation
bin1100010110100010111…
…10001010101011010000
31111120111122020212210221
412023101132022223100
523423203303004300
6522550522002424
742443360114260
oct6132136125320
91446448225727
10424421141200
11153aa5740221
126a309946414
133103ac6b954
14167837077a0
15b09087731a
hex62d178aad0

424421141200 has 120 divisors (see below), whose sum is σ = 1226672985920. Its totient is φ = 137857075200.

The previous prime is 424421141197. The next prime is 424421141203. The reversal of 424421141200 is 2141124424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (424421141197) and next prime (424421141203).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424421141203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3935721 + ... + 4042120.

Almost surely, 2424421141200 is an apocalyptic number.

424421141200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424421141200 is an abundant number, since it is smaller than the sum of its proper divisors (802251844720).

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

424421141200 is a wasteful number, since it uses less digits than its factorization.

424421141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7977885 (or 7977874 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 424421141200 its reverse (2141124424), we get a palindrome (426562265624).

The spelling of 424421141200 in words is "four hundred twenty-four billion, four hundred twenty-one million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 50 56 70 76 80 95 100 112 133 140 152 175 190 200 266 280 304 350 380 400 475 532 560 665 700 760 950 1064 1330 1400 1520 1900 2128 2660 2800 3325 3800 5320 6650 7600 10640 13300 26600 53200 7977841 15955682 31911364 39889205 55844887 63822728 79778410 111689774 127645456 151578979 159556820 199446025 223379548 279224435 303157958 319113640 398892050 446759096 558448870 606315916 638227280 757894895 797784100 893518192 1061052853 1116897740 1212631832 1396122175 1515789790 1595568200 2122105706 2233795480 2425263664 2792244350 3031579580 3191136400 3789474475 4244211412 4467590960 5305264265 5584488700 6063159160 7578948950 8488422824 10610528530 11168977400 12126318320 15157897900 16976845648 21221057060 22337954800 26526321325 30315795800 42442114120 53052642650 60631591600 84884228240 106105285300 212210570600 424421141200