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3422450031504 = 243789787145423
BaseRepresentation
bin110001110011011001111…
…010110001101110010000
3110010011221102112102002020
4301303121322301232100
5422033134202002004
611140130221451440
7502156334164020
oct61633172615620
913104842472066
103422450031504
1110aa4a8902019
12473363710b80
131ba9742cb34a
14bb90c905a80
155e05c0138d9
hex31cd9eb1b90

3422450031504 has 160 divisors (see below), whose sum is σ = 10230962319360. Its totient is φ = 965620694016.

The previous prime is 3422450031503. The next prime is 3422450031521. The reversal of 3422450031504 is 4051300542243.

It is not an unprimeable number, because it can be changed into a prime (3422450031503) 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, 23461737 + ... + 23607159.

It is an arithmetic number, because the mean of its divisors is an integer number (63943514496).

Almost surely, 23422450031504 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 3422450031504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115481159680).

3422450031504 is an abundant number, since it is smaller than the sum of its proper divisors (6808512287856).

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

3422450031504 is a wasteful number, since it uses less digits than its factorization.

3422450031504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146317 (or 146311 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 3422450031504 its reverse (4051300542243), we get a palindrome (7473750573747).

The spelling of 3422450031504 in words is "three trillion, four hundred twenty-two billion, four hundred fifty million, thirty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 168 178 267 336 356 534 623 712 787 1068 1246 1424 1574 1869 2136 2361 2492 3148 3738 4272 4722 4984 5509 6296 7476 9444 9968 11018 12592 14952 16527 18888 22036 29904 33054 37776 44072 66108 70043 88144 132216 140086 145423 210129 264432 280172 290846 420258 436269 490301 560344 581692 840516 872538 980602 1017961 1120688 1163384 1470903 1681032 1745076 1961204 2035922 2326768 2941806 3053883 3362064 3490152 3922408 4071844 5883612 6107766 6980304 7844816 8143688 11767224 12215532 12942647 16287376 23534448 24431064 25885294 38827941 48862128 51770588 77655882 90598529 103541176 114447901 155311764 181197058 207082352 228895802 271795587 310623528 343343703 362394116 457791604 543591174 621247056 686687406 724788232 801135307 915583208 1087182348 1373374812 1449576464 1602270614 1831166416 2174364696 2403405921 2746749624 3204541228 4348729392 4806811842 5493499248 6409082456 9613623684 10185863189 12818164912 19227247368 20371726378 30557589567 38454494736 40743452756 61115179134 71301042323 81486905512 122230358268 142602084646 162973811024 213903126969 244460716536 285204169292 427806253938 488921433072 570408338584 855612507876 1140816677168 1711225015752 3422450031504