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1466023140140 = 2251397322118047
BaseRepresentation
bin10101010101010101110…
…010011101101100101100
312012011001200011211012112
4111111111302131230230
5143004403410441030
63041252015423152
7210626264041046
oct25252562355454
95164050154175
101466023140140
11515811930719
121b8160224ab8
13a83261725c0
1450d54db2a96
152820456ba95
hex15555c9db2c

1466023140140 has 96 divisors (see below), whose sum is σ = 3350873401344. Its totient is φ = 535524433920.

The previous prime is 1466023140097. The next prime is 1466023140149. The reversal of 1466023140140 is 410413206641.

It is a junction number, because it is equal to n+sod(n) for n = 1466023140097 and 1466023140106.

It is not an unprimeable number, because it can be changed into a prime (1466023140149) 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, 81224597 + ... + 81242643.

It is an arithmetic number, because the mean of its divisors is an integer number (34904931264).

Almost surely, 21466023140140 is an apocalyptic number.

1466023140140 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 1466023140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675436700672).

1466023140140 is an abundant number, since it is smaller than the sum of its proper divisors (1884850261204).

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

1466023140140 is a wasteful number, since it uses less digits than its factorization.

1466023140140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21387 (or 21385 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 1466023140140 its reverse (410413206641), we get a palindrome (1876436346781).

The spelling of 1466023140140 in words is "one trillion, four hundred sixty-six billion, twenty-three million, one hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 388 485 970 1261 1940 2522 3221 5044 6305 6442 12610 12884 16105 18047 25220 32210 36094 41873 64420 72188 83746 90235 167492 180470 209365 234611 312437 360940 418730 469222 624874 837460 938444 1173055 1249748 1562185 1750559 2346110 3124370 3501118 4061681 4692220 6248740 7002236 8123362 8752795 16246724 17505590 20308405 22757267 35011180 40616810 45514534 58129387 81233620 91029068 113786335 116258774 227572670 232517548 290646935 455145340 581293870 755682031 1162587740 1511364062 3022728124 3778410155 5638550539 7556820310 11277101078 15113640620 22554202156 28192752695 56385505390 73301157007 112771010780 146602314014 293204628028 366505785035 733011570070 1466023140140