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1451421440 = 2857237043
BaseRepresentation
bin101011010000010…
…1110111100000000
310202011002211220122
41112200232330000
510433030441230
6400004555412
750652610250
oct12640567400
93664084818
101451421440
11685320457
123460b2b68
131a1913b71
14daa99960
1587650be5
hex5682ef00

1451421440 has 144 divisors (see below), whose sum is σ = 4146605568. Its totient is φ = 475926528.

The previous prime is 1451421421. The next prime is 1451421449. The reversal of 1451421440 is 441241541.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1451421449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202559 + ... + 209601.

It is an arithmetic number, because the mean of its divisors is an integer number (28795872).

Almost surely, 21451421440 is an apocalyptic number.

1451421440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1451421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073302784).

1451421440 is an abundant number, since it is smaller than the sum of its proper divisors (2695184128).

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

1451421440 is an equidigital number, since it uses as much as digits as its factorization.

1451421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 1451421440 is about 38097.5253789534. The cubic root of 1451421440 is about 1132.2209277163.

Adding to 1451421440 its reverse (441241541), we get a palindrome (1892662981).

The spelling of 1451421440 in words is "one billion, four hundred fifty-one million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 128 140 160 161 184 224 230 256 280 320 322 368 448 460 560 640 644 736 805 896 920 1120 1280 1288 1472 1610 1792 1840 2240 2576 2944 3220 3680 4480 5152 5888 6440 7043 7360 8960 10304 12880 14086 14720 20608 25760 28172 29440 35215 41216 49301 51520 56344 70430 98602 103040 112688 140860 161989 197204 206080 225376 246505 281720 323978 394408 450752 493010 563440 647956 788816 809945 901504 986020 1126880 1133923 1295912 1577632 1619890 1803008 1972040 2253760 2267846 2591824 3155264 3239780 3944080 4507520 4535692 5183648 5669615 6310528 6479560 7888160 9015040 9071384 10367296 11339230 12621056 12959120 15776320 18142768 20734592 22678460 25918240 31552640 36285536 41469184 45356920 51836480 63105280 72571072 90713840 103672960 145142144 181427680 207345920 290284288 362855360 725710720 1451421440