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4420312024040 = 2351179355935731
BaseRepresentation
bin100000001010010111100…
…1000001100001111101000
3120122120121010220210200122
41000110233020030033220
51034410244334232130
613222355135222412
7634233311160113
oct100245710141750
916576533823618
104420312024040
11145470999a2a0
125b4829677a08
13260aab65c3c3
14113d3100b57a
1579eb0c062e5
hex4052f20c3e8

4420312024040 has 128 divisors (see below), whose sum is σ = 10990591488000. Its totient is φ = 1586549203200.

The previous prime is 4420312024039. The next prime is 4420312024049. The reversal of 4420312024040 is 404202130244.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4420312024049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123692975 + ... + 123728705.

It is an arithmetic number, because the mean of its divisors is an integer number (85863996000).

Almost surely, 24420312024040 is an apocalyptic number.

4420312024040 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 4420312024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495295744000).

4420312024040 is an abundant number, since it is smaller than the sum of its proper divisors (6570279463960).

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

4420312024040 is a wasteful number, since it uses less digits than its factorization.

4420312024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39391 (or 39387 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4420312024040 its reverse (404202130244), we get a palindrome (4824514154284).

The spelling of 4420312024040 in words is "four trillion, four hundred twenty billion, three hundred twelve million, twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 220 316 395 440 632 790 869 1580 1738 3160 3476 3559 4345 6952 7118 8690 14236 17380 17795 28472 34760 35590 35731 39149 71180 71462 78298 142360 142924 156596 178655 195745 281161 285848 313192 357310 391490 393041 562322 714620 782980 786082 1124644 1405805 1429240 1565960 1572164 1965205 2249288 2811610 2822749 3092771 3144328 3930410 5623220 5645498 6185542 7860820 11246440 11290996 12371084 14113745 15463855 15721640 22581992 24742168 28227490 30927710 31050239 56454980 61855420 62100478 112909960 123710840 124200956 127166629 155251195 248401912 254333258 310502390 508666516 621004780 635833145 1017333032 1242009560 1271666290 1398832919 2543332580 2797665838 5086665160 5595331676 6994164595 10046163691 11190663352 13988329190 20092327382 27976658380 40184654764 50230818455 55953316760 80369309528 100461636910 110507800601 200923273820 221015601202 401846547640 442031202404 552539003005 884062404808 1105078006010 2210156012020 4420312024040