Search a number
-
+
142255121365920 = 2535739401034961
BaseRepresentation
bin100000010110000101011001…
…111110011111101110100000
3200122200110022222221120222210
4200112011121332133232200
5122121201442032202140
61222315033420202120
741651410343441643
oct4026053176375640
9618613288846883
10142255121365920
11413660704782a2
1213b55bb4399340
13614b7a6077094
14271b282803a5a
15116a5aec0ed80
hex816159f9fba0

142255121365920 has 96 divisors (see below), whose sum is σ = 448709998282560. Its totient is φ = 37883366461440.

The previous prime is 142255121365879. The next prime is 142255121365939. The reversal of 142255121365920 is 29563121552241.

It is a happy number.

142255121365920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 142255121365920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200162761 + ... + 200872200.

It is an arithmetic number, because the mean of its divisors is an integer number (4674062482110).

Almost surely, 2142255121365920 is an apocalyptic number.

142255121365920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142255121365920 is an abundant number, since it is smaller than the sum of its proper divisors (306454876916640).

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

142255121365920 is a wasteful number, since it uses less digits than its factorization.

142255121365920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401035718 (or 401035710 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 142255121365920 in words is "one hundred forty-two trillion, two hundred fifty-five billion, one hundred twenty-one million, three hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 739 1478 2217 2956 3695 4434 5912 7390 8868 11085 11824 14780 17736 22170 23648 29560 35472 44340 59120 70944 88680 118240 177360 354720 401034961 802069922 1203104883 1604139844 2005174805 2406209766 3208279688 4010349610 4812419532 6015524415 6416559376 8020699220 9624839064 12031048830 12833118752 16041398440 19249678128 24062097660 32082796880 38499356256 48124195320 64165593760 96248390640 192496781280 296364836179 592729672358 889094508537 1185459344716 1481824180895 1778189017074 2370918689432 2963648361790 3556378034148 4445472542685 4741837378864 5927296723580 7112756068296 8890945085370 9483674757728 11854593447160 14225512136592 17781890170740 23709186894320 28451024273184 35563780341480 47418373788640 71127560682960 142255121365920