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10141464641500 = 2253281313230611
BaseRepresentation
bin1001001110010011111001…
…1001011011111111011100
31022220111220002220122000001
42103210332121123333130
52312124204422012000
633322531411144044
72064460643064403
oct223447631337734
938814802818001
1010141464641500
11325aa75447a85
121179597ba5024
1358744a2ac79a
14270bc709863a
15128c0952746a
hex9393e65bfdc

10141464641500 has 96 divisors (see below), whose sum is σ = 22298892662592. Its totient is φ = 4029217920000.

The previous prime is 10141464641479. The next prime is 10141464641507. The reversal of 10141464641500 is 514646414101.

It is a self number, because there is not a number n which added to its sum of digits gives 10141464641500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141464641507) 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, 43861195 + ... + 44091805.

It is an arithmetic number, because the mean of its divisors is an integer number (232280131902).

Almost surely, 210141464641500 is an apocalyptic number.

10141464641500 is a gapful number since it is divisible by the number (10) 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 10141464641500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11149446331296).

10141464641500 is an abundant number, since it is smaller than the sum of its proper divisors (12157428021092).

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

10141464641500 is a wasteful number, since it uses less digits than its factorization.

10141464641500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231224 (or 231212 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 10141464641500 in words is "ten trillion, one hundred forty-one billion, four hundred sixty-four million, six hundred forty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 281 313 500 562 626 1124 1252 1405 1565 2810 3130 5620 6260 7025 7825 14050 15650 28100 31300 35125 39125 70250 78250 87953 140500 156500 175906 230611 351812 439765 461222 879530 922444 1153055 1759060 2198825 2306110 4397650 4612220 5765275 8795300 10994125 11530550 21988250 23061100 28826375 43976500 57652750 64801691 72181243 115305500 129603382 144362486 259206764 288724972 324008455 360906215 648016910 721812430 1296033820 1443624860 1620042275 1804531075 3240084550 3609062150 6480169100 7218124300 8100211375 9022655375 16200422750 18045310750 20282929283 32400845500 36090621500 40565858566 81131717132 101414646415 202829292830 405658585660 507073232075 1014146464150 2028292928300 2535366160375 5070732320750 10141464641500