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42944800140 = 223251171305483
BaseRepresentation
bin100111111111101101…
…011010010110001100
311002211220012212212100
4213333231122112030
51200422332101030
631421212035100
73050132530644
oct477755322614
9132756185770
1042944800140
1117238246a70
1283a6162a90
1340851aa958
142115725524
1511b52c5360
hex9ffb5a58c

42944800140 has 144 divisors (see below), whose sum is σ = 144110244096. Its totient is φ = 10264195200.

The previous prime is 42944800139. The next prime is 42944800153. The reversal of 42944800140 is 4100844924.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42944800095 and 42944800104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12162 + ... + 293321.

It is an arithmetic number, because the mean of its divisors is an integer number (1000765584).

Almost surely, 242944800140 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 42944800140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72055122048).

42944800140 is an abundant number, since it is smaller than the sum of its proper divisors (101165443956).

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

42944800140 is a wasteful number, since it uses less digits than its factorization.

42944800140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305580 (or 305575 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 42944800140 in words is "forty-two billion, nine hundred forty-four million, eight hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 71 90 99 110 132 142 165 180 198 213 220 284 330 355 396 426 495 639 660 710 781 852 990 1065 1278 1420 1562 1980 2130 2343 2556 3124 3195 3905 4260 4686 6390 7029 7810 9372 11715 12780 14058 15620 23430 28116 35145 46860 70290 140580 305483 610966 916449 1221932 1527415 1832898 2749347 3054830 3360313 3665796 4582245 5498694 6109660 6720626 9164490 10080939 10997388 13441252 13746735 16801565 18328980 20161878 21689293 27493470 30242817 33603130 40323756 43378586 50404695 54986940 60485634 65067879 67206260 86757172 100809390 108446465 120971268 130135758 151214085 195203637 201618780 216892930 238582223 260271516 302428170 325339395 390407274 433785860 477164446 604856340 650678790 715746669 780814548 954328892 976018185 1192911115 1301357580 1431493338 1952036370 2147240007 2385822230 2862986676 3578733345 3904072740 4294480014 4771644460 7157466690 8588960028 10736200035 14314933380 21472400070 42944800140