Search a number
-
+
434226463410642 = 23773271522606547
BaseRepresentation
bin110001010111011010011101…
…0000110101000100111010010
32002221110122101211111210212120
41202232310322012220213102
5423403331244113120032
64135304514453035110
7160314553362506460
oct14256647206504722
92087418354453776
10434226463410642
111163a3455375621
124084bbb8025a96
131583a4c255c056
14793295c899830
15353036072762c
hex18aed3a1a89d2

434226463410642 has 64 divisors (see below), whose sum is σ = 1009826361421824. Its totient is φ = 121913655050880.

The previous prime is 434226463410611. The next prime is 434226463410643. The reversal of 434226463410642 is 246014364622434.

It is a happy number.

It is a super-2 number, since 2×4342264634106422 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (434226463410643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260472388 + ... + 262134159.

It is an arithmetic number, because the mean of its divisors is an integer number (15778536897216).

Almost surely, 2434226463410642 is an apocalyptic number.

434226463410642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

434226463410642 is an abundant number, since it is smaller than the sum of its proper divisors (575599898011182).

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

434226463410642 is a wasteful number, since it uses less digits than its factorization.

434226463410642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522606903.

The product of its (nonzero) digits is 15925248, while the sum is 51.

The spelling of 434226463410642 in words is "four hundred thirty-four trillion, two hundred twenty-six billion, four hundred sixty-three million, four hundred ten thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 271 438 511 542 813 1022 1533 1626 1897 3066 3794 5691 11382 19783 39566 59349 118698 138481 276962 415443 830886 522606547 1045213094 1567819641 3135639282 3658245829 7316491658 10974737487 21949474974 38150277931 76300555862 114450833793 141626374237 228901667586 267051945517 283252748474 424879122711 534103891034 801155836551 849758245422 991384619659 1602311673102 1982769239318 2974153858977 5948307717954 10338725319301 20677450638602 31016175957903 62032351915806 72371077235107 144742154470214 217113231705321 434226463410642