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1942641456 = 243722335911
BaseRepresentation
bin111001111001010…
…0101101100110000
312000101102102002120
41303302211230300
512434304011311
6520433314240
766066115500
oct16362455460
95011372076
101942641456
11907630308
12462705980
1324c6137b2
14146007a00
15b5832706
hex73ca5b30

1942641456 has 120 divisors (see below), whose sum is σ = 6091824384. Its totient is φ = 530893440.

The previous prime is 1942641413. The next prime is 1942641457. The reversal of 1942641456 is 6541462491.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1942641457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36141 + ... + 72051.

Almost surely, 21942641456 is an apocalyptic number.

1942641456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1942641456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045912192).

1942641456 is an abundant number, since it is smaller than the sum of its proper divisors (4149182928).

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

1942641456 is a wasteful number, since it uses less digits than its factorization.

1942641456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35959 (or 35946 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 1942641456 is about 44075.4064757207. The cubic root of 1942641456 is about 1247.7594971302.

The spelling of 1942641456 in words is "one billion, nine hundred forty-two million, six hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 368 392 483 552 588 644 784 966 1104 1127 1176 1288 1932 2254 2352 2576 3381 3864 4508 6762 7728 9016 13524 18032 27048 35911 54096 71822 107733 143644 215466 251377 287288 430932 502754 574576 754131 825953 861864 1005508 1508262 1651906 1723728 1759639 2011016 2477859 3016524 3303812 3519278 4022032 4955718 5278917 5781671 6033048 6607624 7038556 9911436 10557834 11563342 12066096 13215248 14077112 17345013 19822872 21115668 23126684 28154224 34690026 39645744 40471697 42231336 46253368 69380052 80943394 84462672 92506736 121415091 138760104 161886788 242830182 277520208 323773576 485660364 647547152 971320728 1942641456