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13423332023000 = 235347359795551
BaseRepresentation
bin1100001101010101110011…
…1011111101101011011000
31202112020222002101110210022
43003111130323331223120
53224411440444214000
644314332115010012
72553542452414154
oct303253473755330
952466862343708
1013423332023000
114305891a88329
121609646899908
13764a790b6413
1434599ac24064
151842895c7585
hexc355cefdad8

13423332023000 has 128 divisors (see below), whose sum is σ = 32168304230400. Its totient is φ = 5240446960000.

The previous prime is 13423332022981. The next prime is 13423332023011. The reversal of 13423332023000 is 32023332431.

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, 16475225 + ... + 17270775.

It is an arithmetic number, because the mean of its divisors is an integer number (251314876800).

Almost surely, 213423332023000 is an apocalyptic number.

13423332023000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13423332023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16084152115200).

13423332023000 is an abundant number, since it is smaller than the sum of its proper divisors (18744972207400).

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

13423332023000 is a wasteful number, since it uses less digits than its factorization.

13423332023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795978 (or 795964 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 13423332023000 its reverse (32023332431), we get a palindrome (13455355355431).

The spelling of 13423332023000 in words is "thirteen trillion, four hundred twenty-three billion, three hundred thirty-two million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 359 376 470 500 718 940 1000 1175 1436 1795 1880 2350 2872 3590 4700 5875 7180 8975 9400 11750 14360 16873 17950 23500 33746 35900 44875 47000 67492 71800 84365 89750 134984 168730 179500 337460 359000 421825 674920 795551 843650 1591102 1687300 2109125 3182204 3374600 3977755 4218250 6364408 7955510 8436500 15911020 16873000 19888775 31822040 37390897 39777550 74781794 79555100 99443875 149563588 159110200 186954485 198887750 285602809 299127176 373908970 397775500 571205618 747817940 795551000 934772425 1142411236 1428014045 1495635880 1869544850 2284822472 2856028090 3739089700 4673862125 5712056180 7140070225 7478179400 9347724250 11424112360 13423332023 14280140450 18695448500 26846664046 28560280900 35700351125 37390897000 53693328092 57120561800 67116660115 71400702250 107386656184 134233320230 142801404500 268466640460 285602809000 335583300575 536933280920 671166601150 1342333202300 1677916502875 2684666404600 3355833005750 6711666011500 13423332023000