Search a number
-
+
4442135404440 = 233537017795037
BaseRepresentation
bin100000010100100001111…
…1001110001111110011000
3120201122221001110101121210
41000221003321301332120
51040234443130420230
613240404442103120
7635635153636626
oct100510371617630
916648831411553
104442135404440
1114629986a1a68
125b8aba1aaaa0
13262b78a22046
14115001534516
157a83ba97eb0
hex40a43e71f98

4442135404440 has 32 divisors (see below), whose sum is σ = 13326406213680. Its totient is φ = 1184569441152.

The previous prime is 4442135404439. The next prime is 4442135404451. The reversal of 4442135404440 is 444045312444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18508897399 + ... + 18508897638.

Almost surely, 24442135404440 is an apocalyptic number.

4442135404440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442135404440 is an abundant number, since it is smaller than the sum of its proper divisors (8884270809240).

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

4442135404440 is a wasteful number, since it uses less digits than its factorization.

4442135404440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37017795051 (or 37017795047 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 39.

The spelling of 4442135404440 in words is "four trillion, four hundred forty-two billion, one hundred thirty-five million, four hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 37017795037 74035590074 111053385111 148071180148 185088975185 222106770222 296142360296 370177950370 444213540444 555266925555 740355900740 888427080888 1110533851110 1480711801480 2221067702220 4442135404440