Search a number
-
+
4044322615640 = 235537944095477
BaseRepresentation
bin111010110110100100011…
…010011011000101011000
3112022122002210111212100012
4322312210122123011120
51012230233042200030
612333534113301052
7565123041011636
oct72664432330530
915278083455305
104044322615640
11131a20775482a
12553997564788
132344bb588318
14dda63a40356
15703071e2095
hex3ada469b158

4044322615640 has 128 divisors (see below), whose sum is σ = 9392622624000. Its totient is φ = 1566473146368.

The previous prime is 4044322615609. The next prime is 4044322615649. The reversal of 4044322615640 is 465162234404.

4044322615640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4044322615649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738416582 + ... + 738422058.

It is an arithmetic number, because the mean of its divisors is an integer number (73379864250).

Almost surely, 24044322615640 is an apocalyptic number.

4044322615640 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 4044322615640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696311312000).

4044322615640 is an abundant number, since it is smaller than the sum of its proper divisors (5348300008360).

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

4044322615640 is a wasteful number, since it uses less digits than its factorization.

4044322615640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10029 (or 10025 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 41.

The spelling of 4044322615640 in words is "four trillion, forty-four billion, three hundred twenty-two million, six hundred fifteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 79 106 158 212 265 316 395 424 530 632 790 1060 1580 2120 3160 4187 4409 5477 8374 8818 10954 16748 17636 20935 21908 22045 27385 33496 35272 41870 43816 44090 54770 83740 88180 109540 167480 176360 219080 233677 290281 348311 432683 467354 580562 696622 865366 934708 1161124 1168385 1393244 1451405 1730732 1741555 1869416 2163415 2322248 2336770 2786488 2902810 3461464 3483110 4326830 4673540 5805620 6966220 8653660 9347080 11611240 13932440 17307320 18460483 22932199 24148093 36920966 45864398 48296186 73841932 91728796 92302415 96592372 114660995 120740465 147683864 183457592 184604830 193184744 229321990 241480930 369209660 458643980 482961860 738419320 917287960 965923720 1279848929 1907699347 2559697858 3815398694 5119395716 6399244645 7630797388 9538496735 10238791432 12798489290 15261594776 19076993470 25596978580 38153986940 51193957160 76307973880 101108065391 202216130782 404432261564 505540326955 808864523128 1011080653910 2022161307820 4044322615640