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4130221243440 = 2435281234126161
BaseRepresentation
bin111100000110100100010…
…111101011110000110000
3112121211211012221021111110
4330012210113223300300
51020132143114242230
612441221503113320
7604253506213065
oct74064427536060
915554735837443
104130221243440
111352687243216
1256856a8a2840
1323c62a784936
14103c91d5ac6c
15726834724b0
hex3c1a45ebc30

4130221243440 has 160 divisors (see below), whose sum is σ = 12855230730432. Its totient is φ = 1096962048000.

The previous prime is 4130221243439. The next prime is 4130221243457. The reversal of 4130221243440 is 443421220314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4130221243398 and 4130221243407.

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, 157863960 + ... + 157890120.

Almost surely, 24130221243440 is an apocalyptic number.

4130221243440 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 4130221243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427615365216).

4130221243440 is an abundant number, since it is smaller than the sum of its proper divisors (8725009486992).

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

4130221243440 is a wasteful number, since it uses less digits than its factorization.

4130221243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28799 (or 28793 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4130221243440 its reverse (443421220314), we get a palindrome (4573642463754).

The spelling of 4130221243440 in words is "four trillion, one hundred thirty billion, two hundred twenty-one million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 281 562 843 1124 1405 1686 2248 2341 2810 3372 4215 4496 4682 5620 6744 7023 8430 9364 11240 11705 13488 14046 16860 18728 22480 23410 26161 28092 33720 35115 37456 46820 52322 56184 67440 70230 78483 93640 104644 112368 130805 140460 156966 187280 209288 261610 280920 313932 392415 418576 523220 561840 627864 657821 784830 1046440 1255728 1315642 1569660 1973463 2092880 2631284 3139320 3289105 3946926 5262568 6278640 6578210 7351241 7893852 9867315 10525136 13156420 14702482 15787704 19734630 22053723 26312840 29404964 31575408 36756205 39469260 44107446 52625680 58809928 61242901 73512410 78938520 88214892 110268615 117619856 122485802 147024820 157877040 176429784 183728703 220537230 244971604 294049640 306214505 352859568 367457406 441074460 489943208 588099280 612429010 734914812 882148920 918643515 979886416 1224858020 1469829624 1764297840 1837287030 2449716040 2939659248 3674574060 4899432080 7349148120 14698296240 17209255181 34418510362 51627765543 68837020724 86046275905 103255531086 137674041448 172092551810 206511062172 258138827715 275348082896 344185103620 413022124344 516277655430 688370207240 826044248688 1032555310860 1376740414480 2065110621720 4130221243440