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144132968848 = 24113165940087
BaseRepresentation
bin1000011000111011111…
…1101001000110010000
3111210000212121110011111
42012032333221012100
54330141020000343
6150114101423104
713261515010111
oct2061677510620
9453025543144
10144132968848
1156143337880
1223b25a0aa94
131078cbcb5ab
146d944b6208
153b389aec9d
hex218efe9190

144132968848 has 80 divisors (see below), whose sum is σ = 314956984320. Its totient is φ = 63303811200.

The previous prime is 144132968839. The next prime is 144132968893. The reversal of 144132968848 is 848869231441.

It is a junction number, because it is equal to n+sod(n) for n = 144132968792 and 144132968801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3575461 + ... + 3615547.

It is an arithmetic number, because the mean of its divisors is an integer number (3936962304).

Almost surely, 2144132968848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144132968848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157478492160).

144132968848 is an abundant number, since it is smaller than the sum of its proper divisors (170824015472).

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

144132968848 is a wasteful number, since it uses less digits than its factorization.

144132968848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40796 (or 40790 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 58.

The spelling of 144132968848 in words is "one hundred forty-four billion, one hundred thirty-two million, nine hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 659 682 1318 1364 2636 2728 5272 5456 7249 10544 14498 20429 28996 40087 40858 57992 80174 81716 115984 160348 163432 224719 320696 326864 440957 449438 641392 881914 898876 1242697 1763828 1797752 2485394 3527656 3595504 4970788 7055312 9941576 13669667 19883152 26417333 27339334 52834666 54678668 105669332 109357336 211338664 218714672 290590663 422677328 581181326 818937323 1162362652 1637874646 2324725304 3275749292 4649450608 6551498584 9008310553 13102997168 18016621106 36033242212 72066484424 144132968848