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146140121310 = 23573211316259
BaseRepresentation
bin1000100000011010100…
…0010100100011011110
3111222012202102100201120
42020012220110203132
54343243332340220
6151045201551410
713362326351421
oct2100650244336
9458182370646
10146140121310
1156a8331a167
12243a6045566
1310a1c9ab381
147104cb39b8
153c04cd6a40
hex2206a148de

146140121310 has 64 divisors (see below), whose sum is σ = 357227055360. Its totient is φ = 38254567680.

The previous prime is 146140121261. The next prime is 146140121317. The reversal of 146140121310 is 13121041641.

It is a happy number.

It is a super-2 number, since 2×1461401213102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146140121317) 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, 303961 + ... + 620219.

It is an arithmetic number, because the mean of its divisors is an integer number (5581672740).

Almost surely, 2146140121310 is an apocalyptic number.

146140121310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146140121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178613527680).

146140121310 is an abundant number, since it is smaller than the sum of its proper divisors (211086934050).

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

146140121310 is a wasteful number, since it uses less digits than its factorization.

146140121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316553.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 146140121310 its reverse (13121041641), we get a palindrome (159261162951).

The spelling of 146140121310 in words is "one hundred forty-six billion, one hundred forty million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 211 219 365 422 438 633 730 1055 1095 1266 2110 2190 3165 6330 15403 30806 46209 77015 92418 154030 231045 316259 462090 632518 948777 1581295 1897554 3162590 4743885 9487770 23086907 46173814 66730649 69260721 115434535 133461298 138521442 200191947 230869070 333653245 346303605 400383894 667306490 692607210 1000959735 2001919470 4871337377 9742674754 14614012131 24356686885 29228024262 48713373770 73070060655 146140121310