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1424531442400 = 255211179522269
BaseRepresentation
bin10100101110101100101…
…100001100101011100000
312001011222001020012002121
4110232230230030223200
5141314420022124100
63010230512354024
7204630134321203
oct24565454145340
95034861205077
101424531442400
114aa15a953030
121b0100845914
13a4443046971
144cd3a66393a
15270c6b2a51a
hex14bacb0cae0

1424531442400 has 144 divisors (see below), whose sum is σ = 4016950554960. Its totient is φ = 487540121600.

The previous prime is 1424531442371. The next prime is 1424531442427. The reversal of 1424531442400 is 42441354241.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4611535 + ... + 4910734.

It is an arithmetic number, because the mean of its divisors is an integer number (27895489965).

Almost surely, 21424531442400 is an apocalyptic number.

1424531442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1424531442400 is an abundant number, since it is smaller than the sum of its proper divisors (2592419112560).

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

1424531442400 is a wasteful number, since it uses less digits than its factorization.

1424531442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9522317 (or 9522304 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 1424531442400 its reverse (42441354241), we get a palindrome (1466972796641).

The spelling of 1424531442400 in words is "one trillion, four hundred twenty-four billion, five hundred thirty-one million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 32 34 40 44 50 55 68 80 85 88 100 110 136 160 170 176 187 200 220 272 275 340 352 374 400 425 440 544 550 680 748 800 850 880 935 1100 1360 1496 1700 1760 1870 2200 2720 2992 3400 3740 4400 4675 5984 6800 7480 8800 9350 13600 14960 18700 29920 37400 74800 149600 9522269 19044538 38089076 47611345 76178152 95222690 104744959 152356304 161878573 190445380 209489918 238056725 304712608 323757146 380890760 418979836 476113450 523724795 647514292 761781520 809392865 837959672 952226900 1047449590 1295028584 1523563040 1618785730 1675919344 1780664303 1904453800 2094899180 2590057168 2618623975 3237571460 3351838688 3561328606 3808907600 4046964325 4189798360 5180114336 5237247950 6475142920 7122657212 7617815200 8093928650 8379596720 8903321515 10474495900 12950285840 14245314424 16187857300 16759193440 17806643030 20948991800 25900571680 28490628848 32375714600 35613286060 41897983600 44516607575 56981257696 64751429200 71226572120 83795967200 89033215150 129502858400 142453144240 178066430300 284906288480 356132860600 712265721200 1424531442400