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141142201044400 = 24524126713222101
BaseRepresentation
bin100000000101111000111010…
…110000011000110110110000
3200111202001200200000111010101
4200011320322300120312300
5121444433211431410100
61220103455415242144
741505121214003353
oct4005707260306660
9614661620014111
10141142201044400
1140a77086a13536
12139b6379679354
13609a86357705a
1426bd4673d229a
15114b674cea86a
hex805e3ac18db0

141142201044400 has 120 divisors (see below), whose sum is σ = 347494885028928. Its totient is φ = 55059244800000.

The previous prime is 141142201044301. The next prime is 141142201044413. The reversal of 141142201044400 is 4440102241141.

It is a super-2 number, since 2×1411422010444002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42193350 + ... + 45415450.

Almost surely, 2141142201044400 is an apocalyptic number.

141142201044400 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 141142201044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173747442514464).

141142201044400 is an abundant number, since it is smaller than the sum of its proper divisors (206352683984528).

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

141142201044400 is a wasteful number, since it uses less digits than its factorization.

141142201044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224831 (or 3224820 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 141142201044400 its reverse (4440102241141), we get a palindrome (145582303285541).

The spelling of 141142201044400 in words is "one hundred forty-one trillion, one hundred forty-two billion, two hundred one million, forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 2671 3280 4100 5342 8200 10684 13355 16400 21368 26710 42736 53420 66775 106840 109511 133550 213680 219022 267100 438044 534200 547555 876088 1068400 1095110 1752176 2190220 2737775 3222101 4380440 5475550 6444202 8760880 10951100 12888404 16110505 21902200 25776808 32221010 43804400 51553616 64442020 80552525 128884040 132106141 161105050 257768080 264212282 322210100 528424564 644420200 660530705 1056849128 1288840400 1321061410 2113698256 2642122820 3302653525 5284245640 6605307050 8606231771 10568491280 13210614100 17212463542 26421228200 34424927084 43031158855 52842456400 68849854168 86062317710 137699708336 172124635420 215155794275 344249270840 352855502611 430311588550 688498541680 705711005222 860623177100 1411422010444 1721246354200 1764277513055 2822844020888 3442492708400 3528555026110 5645688041776 7057110052220 8821387565275 14114220104440 17642775130550 28228440208880 35285550261100 70571100522200 141142201044400