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42551440000 = 27544112973
BaseRepresentation
bin100111101000010000…
…110111001010000000
311001211111001010012021
4213220100313022000
51144121132040000
631314201011224
73034315162246
oct475020671200
9131744033167
1042551440000
11170561a6743
1282b6483b14
134021852684
1420b93ac796
1511909c411a
hex9e8437280

42551440000 has 160 divisors (see below), whose sum is σ = 108521152740. Its totient is φ = 16604160000.

The previous prime is 42551439991. The next prime is 42551440081. The reversal of 42551440000 is 4415524.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 27240842304 + 15310597696 = 165048^2 + 123736^2 .

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 (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3273514 + ... + 3286486.

Almost surely, 242551440000 is an apocalyptic number.

42551440000 is a gapful number since it is divisible by the number (40) 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 42551440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54260576370).

42551440000 is an abundant number, since it is smaller than the sum of its proper divisors (65969712740).

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

42551440000 is an equidigital number, since it uses as much as digits as its factorization.

42551440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13048 (or 13021 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 42551440000 its reverse (4415524), we get a palindrome (42555855524).

The spelling of 42551440000 in words is "forty-two billion, five hundred fifty-one million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 128 160 164 200 205 250 320 328 400 410 500 625 640 656 800 820 1000 1025 1250 1312 1600 1640 2000 2050 2500 2624 3200 3280 4000 4100 5000 5125 5248 6560 8000 8200 10000 10250 12973 13120 16000 16400 20000 20500 25625 25946 26240 32800 40000 41000 51250 51892 64865 65600 80000 82000 102500 103784 129730 131200 164000 205000 207568 259460 324325 328000 410000 415136 518920 531893 648650 656000 820000 830272 1037840 1063786 1297300 1621625 1640000 1660544 2075680 2127572 2594600 2659465 3243250 3280000 4151360 4255144 5189200 5318930 6486500 8108125 8302720 8510288 10378400 10637860 12973000 13297325 16216250 17020576 20756800 21275720 25946000 26594650 32432500 34041152 41513600 42551440 51892000 53189300 64865000 66486625 68082304 85102880 103784000 106378600 129730000 132973250 170205760 207568000 212757200 259460000 265946500 332433125 340411520 425514400 518920000 531893000 664866250 851028800 1037840000 1063786000 1329732500 1702057600 2127572000 2659465000 4255144000 5318930000 8510288000 10637860000 21275720000 42551440000