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1442431240100 = 2252127319135593
BaseRepresentation
bin10100111111010111100…
…110100000011110100100
312002220011111212010101222
4110333113212200132210
5142113044344140400
63022351015235512
7206132535146264
oct24772746403644
95086144763358
101442431240100
11506805915a74
121b3677378b98
13a6036592636
144db57a497a4
15277c32de185
hex14fd79a07a4

1442431240100 has 72 divisors (see below), whose sum is σ = 3155799349248. Its totient is φ = 572233939200.

The previous prime is 1442431240099. The next prime is 1442431240141. The reversal of 1442431240100 is 10421342441.

It is a self number, because there is not a number n which added to its sum of digits gives 1442431240100.

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, 40507904 + ... + 40543496.

Almost surely, 21442431240100 is an apocalyptic number.

1442431240100 is a gapful number since it is divisible by the number (10) 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 1442431240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577899674624).

1442431240100 is an abundant number, since it is smaller than the sum of its proper divisors (1713368109148).

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

1442431240100 is a wasteful number, since it uses less digits than its factorization.

1442431240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38925 (or 38918 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1442431240100 its reverse (10421342441), we get a palindrome (1452852582541).

The spelling of 1442431240100 in words is "one trillion, four hundred forty-two billion, four hundred thirty-one million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 3175 3191 6350 6382 12700 12764 15955 31910 35593 63820 71186 79775 142372 159550 177965 319100 355930 405257 711860 810514 889825 1621028 1779650 2026285 3559300 4052570 4520311 8105140 9040622 10131425 18081244 20262850 22601555 40525700 45203110 90406220 113007775 113577263 226015550 227154526 452031100 454309052 567886315 1135772630 2271545260 2839431575 5678863150 11357726300 14424312401 28848624802 57697249604 72121562005 144243124010 288486248020 360607810025 721215620050 1442431240100