Search a number
-
+
438057120225505 = 511236726571945243
BaseRepresentation
bin110001110011010010001111…
…1000010101101100011100001
32010110000211222220010101021211
41203212210133002231203201
5424404111440234204010
64151400355102550121
7161161403543263564
oct14346443702554341
92113024886111254
10438057120225505
1111763aa88272820
124116a4a3298341
1315a577bc4cc551
147a261134984db
153599d0e87908a
hex18e691f0ad8e1

438057120225505 has 64 divisors (see below), whose sum is σ = 607549561694208. Its totient is φ = 300073964636160.

The previous prime is 438057120225493. The next prime is 438057120225583. The reversal of 438057120225505 is 505522021750834.

It is not a de Polignac number, because 438057120225505 - 233 = 438048530290913 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224221414 + ... + 226166656.

It is an arithmetic number, because the mean of its divisors is an integer number (9492961901472).

Almost surely, 2438057120225505 is an apocalyptic number.

It is an amenable number.

438057120225505 is a deficient number, since it is larger than the sum of its proper divisors (169492441468703).

438057120225505 is a wasteful number, since it uses less digits than its factorization.

438057120225505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948006.

The product of its (nonzero) digits is 3360000, while the sum is 49.

The spelling of 438057120225505 in words is "four hundred thirty-eight trillion, fifty-seven billion, one hundred twenty million, two hundred twenty-five thousand, five hundred five".

Divisors: 1 5 11 23 55 67 115 253 335 737 1265 1541 2657 3685 7705 13285 16951 29227 61111 84755 146135 178019 305555 672221 890095 1945243 1958209 3361105 4094437 9726215 9791045 20472185 21397673 44740589 45038807 106988365 130331281 223702945 225194035 492146479 651656405 1433644091 2460732395 2997619463 5168510651 7168220455 14988097315 25842553255 32973814093 56853617161 118875744973 164869070465 284268085805 346290213617 594378724865 1307633194703 1731451068085 3809192349787 6538165973515 7964674913191 19045961748935 39823374565955 87611424045101 438057120225505