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145121809316 = 221121936174363
BaseRepresentation
bin1000011100100111101…
…1110001001110100100
3111212120210021202021112
42013021323301032210
54334202140344231
6150400144004152
713325153011661
oct2071173611644
9455523252245
10145121809316
1156600529300
1224161000658
13108b9a2c1b3
14704995aa68
153b956d992b
hex21c9ef13a4

145121809316 has 72 divisors (see below), whose sum is σ = 293990286240. Its totient is φ = 62461048320.

The previous prime is 145121809307. The next prime is 145121809351. The reversal of 145121809316 is 613908121541.

It is a happy number.

145121809316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33259751 + ... + 33264113.

It is an arithmetic number, because the mean of its divisors is an integer number (4083198420).

Almost surely, 2145121809316 is an apocalyptic number.

It is an amenable number.

145121809316 is an abundant number, since it is smaller than the sum of its proper divisors (148868476924).

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

145121809316 is a wasteful number, since it uses less digits than its factorization.

145121809316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8025 (or 8012 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The spelling of 145121809316 in words is "one hundred forty-five billion, one hundred twenty-one million, eight hundred nine thousand, three hundred sixteen".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 418 484 836 2299 3617 4363 4598 7234 8726 9196 14468 17452 39787 47993 68723 79574 82897 95986 137446 159148 165794 191972 274892 331588 437657 527923 755953 875314 911867 1055846 1511906 1750628 1823734 2111692 3023812 3647468 8315483 10030537 15780971 16630966 20061074 31561942 33261932 40122148 63123884 173590681 299838449 347181362 599676898 694362724 1199353796 1909497491 3298222939 3818994982 6596445878 7637989964 13192891756 36280452329 72560904658 145121809316