Search a number
-
+
140420220104400 = 24352397294752771
BaseRepresentation
bin11111111011011000100001…
…010101101010111011010000
3200102012001010120111122022120
4133323120201111222323100
5121401121102321320100
61214352054130134240
741402011646163555
oct3773304125527320
9612161116448276
10140420220104400
1140818976557325
12138ba467721380
1360477541cc752
142696536aaca2c
1511379bb12c0a0
hex7fb62156aed0

140420220104400 has 120 divisors (see below), whose sum is σ = 450945802916064. Its totient is φ = 37351071014400.

The previous prime is 140420220104207. The next prime is 140420220104413. The reversal of 140420220104400 is 4401022024041.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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, 146899986 + ... + 147852785.

Almost surely, 2140420220104400 is an apocalyptic number.

140420220104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140420220104400 is an abundant number, since it is smaller than the sum of its proper divisors (310525582811664).

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

140420220104400 is a wasteful number, since it uses less digits than its factorization.

140420220104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294753189 (or 294753178 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 140420220104400 its reverse (4401022024041), we get a palindrome (144821242128441).

The spelling of 140420220104400 in words is "one hundred forty trillion, four hundred twenty billion, two hundred twenty million, one hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 397 400 600 794 1191 1200 1588 1985 2382 3176 3970 4764 5955 6352 7940 9528 9925 11910 15880 19056 19850 23820 29775 31760 39700 47640 59550 79400 95280 119100 158800 238200 476400 294752771 589505542 884258313 1179011084 1473763855 1768516626 2358022168 2947527710 3537033252 4421291565 4716044336 5895055420 7074066504 7368819275 8842583130 11790110840 14148133008 14737638550 17685166260 22106457825 23580221680 29475277100 35370332520 44212915650 58950554200 70740665040 88425831300 117016850087 117901108400 176851662600 234033700174 351050550261 353703325200 468067400348 585084250435 702101100522 936134800696 1170168500870 1404202201044 1755252751305 1872269601392 2340337001740 2808404402088 2925421252175 3510505502610 4680674003480 5616808804176 5850842504350 7021011005220 8776263756525 9361348006960 11701685008700 14042022010440 17552527513050 23403370017400 28084044020880 35105055026100 46806740034800 70210110052200 140420220104400