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4302101041040 = 2451117299916331
BaseRepresentation
bin111110100110101001001…
…101000100111110010000
3120020021110211002200011002
4332212221031010332100
51030441200331303130
613052205151441132
7622550034326525
oct76465115047620
916207424080132
104302101041040
111409568978120
12595938b261a8
132528bccbac9a
1410c31951d14c
1576d92d39b45
hex3e9a9344f90

4302101041040 has 160 divisors (see below), whose sum is σ = 11951956632960. Its totient is φ = 1421605068800.

The previous prime is 4302101041031. The next prime is 4302101041061. The reversal of 4302101041040 is 401401012034.

4302101041040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4524326 + ... + 5392005.

It is an arithmetic number, because the mean of its divisors is an integer number (74699728956).

Almost surely, 24302101041040 is an apocalyptic number.

4302101041040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4302101041040 is an abundant number, since it is smaller than the sum of its proper divisors (7649855591920).

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

4302101041040 is a wasteful number, since it uses less digits than its factorization.

4302101041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9916401 (or 9916395 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4302101041040 its reverse (401401012034), we get a palindrome (4703502053074).

The spelling of 4302101041040 in words is "four trillion, three hundred two billion, one hundred one million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 29 34 40 44 55 58 68 80 85 88 110 116 136 145 170 176 187 220 232 272 290 319 340 374 440 464 493 580 638 680 748 880 935 986 1160 1276 1360 1496 1595 1870 1972 2320 2465 2552 2992 3190 3740 3944 4930 5104 5423 6380 7480 7888 9860 10846 12760 14960 19720 21692 25520 27115 39440 43384 54230 86768 108460 216920 433840 9916331 19832662 39665324 49581655 79330648 99163310 109079641 158661296 168577627 198326620 218159282 287573599 337155254 396653240 436318564 545398205 575147198 674310508 793306480 842888135 872637128 1090796410 1150294396 1348621016 1437867995 1685776270 1745274256 1854353897 2181592820 2300588792 2697242032 2875735990 3163309589 3371552540 3708707794 4363185640 4601177584 4888751183 5751471980 6326619178 6743105080 7417415588 8726371280 9271769485 9777502366 11502943960 12653238356 13486210160 14834831176 15816547945 18543538970 19555004732 23005887920 24443755915 25306476712 29669662352 31633095890 37087077940 39110009464 48887511830 50612953424 53776263013 63266191780 74174155880 78220018928 97775023660 107552526026 126532383560 148348311760 195550047320 215105052052 253064767120 268881315065 391100094640 430210104104 537762630130 860420208208 1075525260260 2151050520520 4302101041040