Search a number
-
+
144423310120400 = 24522711133182691
BaseRepresentation
bin100000110101101000101100…
…000110001101010111010000
3200221100201210210121102022202
4200311220230012031113100
5122412212414342323100
61231055052554022332
742264145154663003
oct4065505406152720
9627321723542282
10144423310120400
1142021644500723
12142462564179a8
1362780a12389cc
1427941a856753a
1511a6bad50c7d5
hex835a2c18d5d0

144423310120400 has 60 divisors (see below), whose sum is σ = 347104993736544. Its totient is φ = 57748014384000.

The previous prime is 144423310120373. The next prime is 144423310120423. The reversal of 144423310120400 is 4021013324441.

It is a super-2 number, since 2×1444233101204002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65506946 + ... + 67675745.

Almost surely, 2144423310120400 is an apocalyptic number.

144423310120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144423310120400 is an abundant number, since it is smaller than the sum of its proper divisors (202681683616144).

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

144423310120400 is a wasteful number, since it uses less digits than its factorization.

144423310120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133185420 (or 133185409 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 144423310120400 its reverse (4021013324441), we get a palindrome (148444323444841).

The spelling of 144423310120400 in words is "one hundred forty-four trillion, four hundred twenty-three billion, three hundred ten million, one hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2711 5422 10844 13555 21688 27110 43376 54220 67775 108440 135550 216880 271100 542200 1084400 133182691 266365382 532730764 665913455 1065461528 1331826910 2130923056 2663653820 3329567275 5327307640 6659134550 10654615280 13318269100 26636538200 53273076400 361058275301 722116550602 1444233101204 1805291376505 2888466202408 3610582753010 5776932404816 7221165506020 9026456882525 14442331012040 18052913765050 28884662024080 36105827530100 72211655060200 144423310120400