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34444420000 = 25544736643
BaseRepresentation
bin100000000101000011…
…000010001110100000
310021220111020211110021
4200011003002032200
51031020232420000
623453515243224
72326364511364
oct400503021640
9107814224407
1034444420000
1113675a82611
126813449514
13332c0ab713
14194a8072a4
15d68dd911a
hex8050c23a0

34444420000 has 120 divisors (see below), whose sum is σ = 86543747136. Its totient is φ = 13484256000.

The previous prime is 34444419983. The next prime is 34444420019. The reversal of 34444420000 is 2444443.

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, 921679 + ... + 958321.

Almost surely, 234444420000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34444420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43271873568).

34444420000 is an abundant number, since it is smaller than the sum of its proper divisors (52099327136).

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

34444420000 is an equidigital number, since it uses as much as digits as its factorization.

34444420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36720 (or 36697 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 34444420000 its reverse (2444443), we get a palindrome (34446864443).

The spelling of 34444420000 in words is "thirty-four billion, four hundred forty-four million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 625 752 800 940 1000 1175 1250 1504 1880 2000 2350 2500 3760 4000 4700 5000 5875 7520 9400 10000 11750 18800 20000 23500 29375 36643 37600 47000 58750 73286 94000 117500 146572 183215 188000 235000 293144 366430 470000 586288 732860 916075 940000 1172576 1465720 1722221 1832150 2931440 3444442 3664300 4580375 5862880 6888884 7328600 8611105 9160750 13777768 14657200 17222210 18321500 22901875 27555536 29314400 34444420 36643000 43055525 45803750 55111072 68888840 73286000 86111050 91607500 137777680 146572000 172222100 183215000 215277625 275555360 344444200 366430000 430555250 688888400 732860000 861110500 1076388125 1377776800 1722221000 2152776250 3444442000 4305552500 6888884000 8611105000 17222210000 34444420000