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123161391345440 = 2557215709361141
BaseRepresentation
bin11100000000001110111110…
…111110110010111100100000
3121011002010002010100010112002
4130000032332332302330200
5112120334012141023230
61113535321225023132
734641055043223200
oct3400167676627440
9534063063303462
10123161391345440
11362744a8670508
1211991604924aa8
1353950b95348c6
14225b086578400
15e38a9ca6c545
hex7003befb2f20

123161391345440 has 72 divisors (see below), whose sum is σ = 338473895165532. Its totient is φ = 42226762744320.

The previous prime is 123161391345407. The next prime is 123161391345479. The reversal of 123161391345440 is 44543193161321.

It can be written as a sum of positive squares in 2 ways, for example, as 113515472244496 + 9645919100944 = 10654364^2 + 3105788^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7854672731 + ... + 7854688410.

Almost surely, 2123161391345440 is an apocalyptic number.

123161391345440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123161391345440 is an abundant number, since it is smaller than the sum of its proper divisors (215312503820092).

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

123161391345440 is a wasteful number, since it uses less digits than its factorization.

123161391345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15709361170 (or 15709361155 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 47.

The spelling of 123161391345440 in words is "one hundred twenty-three trillion, one hundred sixty-one billion, three hundred ninety-one million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 15709361141 31418722282 62837444564 78546805705 109965527987 125674889128 157093611410 219931055974 251349778256 314187222820 439862111948 502699556512 549827639935 628374445640 769758695909 879724223896 1099655279870 1256748891280 1539517391818 1759448447792 2199310559740 2513497782560 3079034783636 3518896895584 3848793479545 4398621119480 6158069567272 7697586959090 8797242238960 12316139134544 15395173918180 17594484477920 24632278269088 30790347836360 61580695672720 123161391345440