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144236934688 = 25721115155381
BaseRepresentation
bin1000011001010100110…
…0001111011000100000
3111210022010020110111011
42012111030033120200
54330344123402223
6150132254030304
713264216500400
oct2062514173040
9453263213434
10144236934688
1156196a97960
1223b547a8394
13107a8600242
146da421a800
153b42b9980d
hex219530f620

144236934688 has 144 divisors (see below), whose sum is σ = 362751213888. Its totient is φ = 55823040000.

The previous prime is 144236934643. The next prime is 144236934703. The reversal of 144236934688 is 886439632441.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2576758 + ... + 2632138.

It is an arithmetic number, because the mean of its divisors is an integer number (2519105652).

Almost surely, 2144236934688 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 144236934688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181375606944).

144236934688 is an abundant number, since it is smaller than the sum of its proper divisors (218514279200).

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

144236934688 is a wasteful number, since it uses less digits than its factorization.

144236934688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55567 (or 55552 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 58.

The spelling of 144236934688 in words is "one hundred forty-four billion, two hundred thirty-six million, nine hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 151 154 176 196 224 302 308 352 392 539 604 616 784 1057 1078 1208 1232 1568 1661 2114 2156 2416 2464 3322 4228 4312 4832 6644 7399 8456 8624 11627 13288 14798 16912 17248 23254 26576 29596 33824 46508 53152 55381 59192 81389 93016 110762 118384 162778 186032 221524 236768 325556 372064 387667 443048 609191 651112 775334 886096 1218382 1302224 1550668 1772192 2436764 2604448 2713669 3101336 4264337 4873528 5427338 6202672 8362531 8528674 9747056 10854676 12405344 16725062 17057348 19494112 21709352 29850359 33450124 34114696 43418704 58537717 59700718 66900248 68229392 86837408 91987841 117075434 119401436 133800496 136458784 183975682 234150868 238802872 267600992 367951364 409764019 468301736 477605744 643914887 735902728 819528038 936603472 955211488 1287829774 1471805456 1639056076 1873206944 2575659548 2943610912 3278112152 4507404209 5151319096 6556224304 9014808418 10302638192 13112448608 18029616836 20605276384 36059233672 72118467344 144236934688