Search a number
-
+
20030444012400 = 2435216692036677
BaseRepresentation
bin1001000110111101100111…
…00000000000001101110000
32121220220002002020120112120
410203132303200000031300
510111134322131344100
6110333505310554240
74135103034611343
oct443366340001560
977826062216476
1020030444012400
1164229554a8168
1222b604b208980
13b23b2a65a363
144d369b64645a
1524b0879690a0
hex1237b3800370

20030444012400 has 60 divisors (see below), whose sum is σ = 64164188990232. Its totient is φ = 5341451736320.

The previous prime is 20030444012399. The next prime is 20030444012401. The reversal of 20030444012400 is 421044403002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20030444012399) and next prime (20030444012401).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×200304440124002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20030444012401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8346017139 + ... + 8346019538.

Almost surely, 220030444012400 is an apocalyptic number.

20030444012400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20030444012400 is an abundant number, since it is smaller than the sum of its proper divisors (44133744977832).

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

20030444012400 is a wasteful number, since it uses less digits than its factorization.

20030444012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16692036698 (or 16692036687 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20030444012400 its reverse (421044403002), we get a palindrome (20451488415402).

The spelling of 20030444012400 in words is "twenty trillion, thirty billion, four hundred forty-four million, twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 16692036677 33384073354 50076110031 66768146708 83460183385 100152220062 133536293416 166920366770 200304440124 250380550155 267072586832 333840733540 400608880248 417300916925 500761100310 667681467080 801217760496 834601833850 1001522200620 1251902750775 1335362934160 1669203667700 2003044401240 2503805501550 3338407335400 4006088802480 5007611003100 6676814670800 10015222006200 20030444012400