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39990446440 = 2357245172
BaseRepresentation
bin100101001111100111…
…011100100101101000
310211020000002011110221
4211033213130211220
51123400023241230
630212114015424
72614000120600
oct451747344550
9124200064427
1039990446440
1115a6162333a
127900877574
133a040b8c79
141d15201c00
151090c4b27a
hex94f9dc968

39990446440 has 72 divisors (see below), whose sum is σ = 104692049910. Its totient is φ = 13707974784.

The previous prime is 39990446413. The next prime is 39990446471. The reversal of 39990446440 is 4464409993.

It can be written as a sum of positive squares in 3 ways, for example, as 5637306724 + 34353139716 = 75082^2 + 185346^2 .

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 17 ways as a sum of consecutive naturals, for example, 8851062 + ... + 8855578.

Almost surely, 239990446440 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 39990446440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52346024955).

39990446440 is an abundant number, since it is smaller than the sum of its proper divisors (64701603470).

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

39990446440 is an frugal number, since it uses more digits than its factorization.

39990446440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9059 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 52.

The spelling of 39990446440 in words is "thirty-nine billion, nine hundred ninety million, four hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 4517 9034 18068 22585 31619 36136 45170 63238 90340 126476 158095 180680 221333 252952 316190 442666 632380 885332 1106665 1264760 1770664 2213330 4426660 8853320 20403289 40806578 81613156 102016445 142823023 163226312 204032890 285646046 408065780 571292092 714115115 816131560 999761161 1142584184 1428230230 1999522322 2856460460 3999044644 4998805805 5712920920 7998089288 9997611610 19995223220 39990446440