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141152503501314 = 232353316273136397
BaseRepresentation
bin100000000110000010100000…
…110101001001001000000010
3200111210001021122220112010200
4200012002200311021020002
5122000120311344020224
61220112322004510030
741505634423310034
oct4006024065111002
9614701248815120
10141152503501314
1140a8049342a938
12139b83739ab316
13609b815b126c6
1426bdb637a7c54
15114ba795005c9
hex8060a0d49202

141152503501314 has 48 divisors (see below), whose sum is σ = 305938030232952. Its totient is φ = 47034281608704.

The previous prime is 141152503501259. The next prime is 141152503501357. The reversal of 141152503501314 is 413105305251141.

141152503501314 is a `hidden beast` number, since 1 + 4 + 1 + 15 + 2 + 503 + 5 + 0 + 131 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138109903568289 + 3042599933025 = 11752017^2 + 1744305^2 .

It is a super-2 number, since 2×1411525035013142 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1034796964 + ... + 1034933360.

Almost surely, 2141152503501314 is an apocalyptic number.

141152503501314 is an abundant number, since it is smaller than the sum of its proper divisors (164785526731638).

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

141152503501314 is a wasteful number, since it uses less digits than its factorization.

141152503501314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156211 (or 156208 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 141152503501314 its reverse (413105305251141), we get a palindrome (554257808752455).

The spelling of 141152503501314 in words is "one hundred forty-one trillion, one hundred fifty-two billion, five hundred three million, five hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 3533 7066 10599 16273 21198 31797 32546 48819 63594 97638 136397 146457 272794 292914 409191 818382 1227573 2455146 57492509 114985018 172477527 344955054 481890601 517432581 963781202 1034865162 1445671803 2219588381 2891343606 4337015409 4439176762 6658765143 8674030818 13317530286 19976295429 39952590858 7841805750073 15683611500146 23525417250219 47050834500438 70576251750657 141152503501314