Search a number
-
+
1442121240444 = 2232913737979811
BaseRepresentation
bin10100111111000101000…
…111111100111101111100
312002212100220112111211020
4110333011013330331330
5142111431014143234
63022300143024140
7206122052201223
oct24770507747574
95085326474736
101442121240444
11506666931705
121b35ab59b050
13a5cb72a31a1
144db287d1cba
15277a5ea7549
hex14fc51fcf7c

1442121240444 has 96 divisors (see below), whose sum is σ = 3515686675200. Its totient is φ = 459521717760.

The previous prime is 1442121240389. The next prime is 1442121240487. The reversal of 1442121240444 is 4440421212441.

It is a super-2 number, since 2×14421212404442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18029299 + ... + 18109109.

It is an arithmetic number, because the mean of its divisors is an integer number (36621736200).

Almost surely, 21442121240444 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 1442121240444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757843337600).

1442121240444 is an abundant number, since it is smaller than the sum of its proper divisors (2073565434756).

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

1442121240444 is a wasteful number, since it uses less digits than its factorization.

1442121240444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80363 (or 80361 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 33.

Adding to 1442121240444 its reverse (4440421212441), we get a palindrome (5882542452885).

The spelling of 1442121240444 in words is "one trillion, four hundred forty-two billion, one hundred twenty-one million, two hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 137 174 274 348 379 411 548 758 822 1137 1516 1644 2274 3973 4548 7946 10991 11919 15892 21982 23838 32973 43964 47676 51923 65946 79811 103846 131892 155769 159622 207692 239433 311538 319244 478866 623076 957732 1505767 2314519 3011534 4517301 4629038 6023068 6943557 9034602 9258076 10934107 13887114 18069204 21868214 27774228 30248369 32802321 43736428 60496738 65604642 90745107 120993476 131209284 181490214 317089103 362980428 634178206 877202701 951267309 1268356412 1754405402 1902534618 2631608103 3508810804 3805069236 4144026553 5263216206 8288053106 10526432412 12432079659 16576106212 24864159318 49728318636 120176770037 240353540074 360530310111 480707080148 721060620222 1442121240444