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4400044414000 = 245317751172321
BaseRepresentation
bin100000000000111011100…
…0101011001010000110000
3120120122021122211112110221
41000001313011121100300
51034042242332222000
613205204050102424
7632615126265034
oct100016705312060
916518248745427
104400044414000
1114470593a9954
125b0911b7aa14
1325bbcb6b7741
14112d6b3841c4
15796c672861a
hex40077159430

4400044414000 has 160 divisors (see below), whose sum is σ = 11280214662912. Its totient is φ = 1654272000000.

The previous prime is 4400044413943. The next prime is 4400044414013. The reversal of 4400044414000 is 4144400044.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 25447840 + ... + 25620160.

Almost surely, 24400044414000 is an apocalyptic number.

4400044414000 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 4400044414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640107331456).

4400044414000 is an abundant number, since it is smaller than the sum of its proper divisors (6880170248912).

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

4400044414000 is a wasteful number, since it uses less digits than its factorization.

4400044414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173112 (or 173096 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 4400044414000 its reverse (4144400044), we get a palindrome (4404188814044).

The spelling of 4400044414000 in words is "four trillion, four hundred billion, forty-four million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 751 850 1000 1360 1502 1700 2000 2125 3004 3400 3755 4250 6008 6800 7510 8500 12016 12767 15020 17000 18775 25534 30040 34000 37550 51068 60080 63835 75100 93875 102136 127670 150200 172321 187750 204272 255340 300400 319175 344642 375500 510680 638350 689284 751000 861605 1021360 1276700 1378568 1502000 1595875 1723210 2553400 2757136 2929457 3191750 3446420 4308025 5106800 5858914 6383500 6892840 8616050 11717828 12767000 13785680 14647285 17232100 21540125 23435656 25534000 29294570 34464200 43080250 46871312 58589140 68928400 73236425 86160500 117178280 129413071 146472850 172321000 234356560 258826142 292945700 344642000 366182125 517652284 585891400 647065355 732364250 1035304568 1171782800 1294130710 1464728500 2070609136 2200022207 2588261420 2929457000 3235326775 4400044414 5176522840 5858914000 6470653550 8800088828 10353045680 11000111035 12941307100 16176633875 17600177656 22000222070 25882614200 32353267750 35200355312 44000444140 51765228400 55000555175 64706535500 88000888280 110001110350 129413071000 176001776560 220002220700 258826142000 275002775875 440004441400 550005551750 880008882800 1100011103500 2200022207000 4400044414000