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42739327440 = 2432572478191
BaseRepresentation
bin100111110011011101…
…100110000111010000
311002022120120210022100
4213303131212013100
51200012231434230
631344552040400
73042056201115
oct476335460720
9132276523270
1042739327440
1117142266317
128349393100
134051758684
1420d631a90c
1511a2239660
hex9f37661d0

42739327440 has 120 divisors (see below), whose sum is σ = 143570239488. Its totient is φ = 11394190080.

The previous prime is 42739327427. The next prime is 42739327457. The reversal of 42739327440 is 4472393724.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×427393274402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 5213745 + ... + 5221935.

Almost surely, 242739327440 is an apocalyptic number.

42739327440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42739327440 is an abundant number, since it is smaller than the sum of its proper divisors (100830912048).

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

42739327440 is a wasteful number, since it uses less digits than its factorization.

42739327440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15457 (or 15448 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 42739327440 in words is "forty-two billion, seven hundred thirty-nine million, three hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 7247 8191 14494 16382 21741 24573 28988 32764 36235 40955 43482 49146 57976 65223 65528 72470 73719 81910 86964 98292 108705 115952 122865 130446 131056 144940 147438 163820 173928 196584 217410 245730 260892 289880 294876 326115 327640 347856 368595 393168 434820 491460 521784 579760 589752 652230 655280 737190 869640 982920 1043568 1179504 1304460 1474380 1739280 1965840 2608920 2948760 5217840 5897520 59360177 118720354 178080531 237440708 296800885 356161062 474881416 534241593 593601770 712322124 890402655 949762832 1068483186 1187203540 1424644248 1780805310 2136966372 2374407080 2671207965 2849288496 3561610620 4273932744 4748814160 5342415930 7123221240 8547865488 10684831860 14246442480 21369663720 42739327440