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242453223353024 = 2637832514914671
BaseRepresentation
bin110111001000001010001010…
…010000001010101011000000
31011210110022011000002202112222
4313020022022100022223000
5223234323200134244044
62215353250112110212
7102032444615666015
oct6710121220125300
91153408130082488
10242453223353024
117028691a927472
1223239085b35368
13a539319222c28
1443c2b275c970c
151d06b70ed98ee
hexdc828a40aac0

242453223353024 has 112 divisors (see below), whose sum is σ = 502067007300096. Its totient is φ = 116064846720000.

The previous prime is 242453223353017. The next prime is 242453223353063. The reversal of 242453223353024 is 420353322354242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46875209 + ... + 51789879.

It is an arithmetic number, because the mean of its divisors is an integer number (4482741136608).

Almost surely, 2242453223353024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242453223353024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251033503650048).

242453223353024 is an abundant number, since it is smaller than the sum of its proper divisors (259613783947072).

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

242453223353024 is a wasteful number, since it uses less digits than its factorization.

242453223353024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915054 (or 4915044 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 44.

The spelling of 242453223353024 in words is "two hundred forty-two trillion, four hundred fifty-three billion, two hundred twenty-three million, three hundred fifty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 83 148 166 251 296 332 502 592 664 1004 1184 1328 2008 2368 2656 3071 4016 5312 6142 8032 9287 12284 16064 18574 20833 24568 37148 41666 49136 74296 83332 98272 148592 166664 196544 297184 333328 594368 666656 770821 1333312 1541642 3083284 4914671 6166568 9829342 12333136 19658684 24666272 39317368 49332544 78634736 157269472 181842827 314538944 363685654 407917693 727371308 815835386 1233582421 1454742616 1631670772 2467164842 2909485232 3263341544 4934329684 5818970464 6526683088 9868659368 11637940928 13053366176 15092954641 19737318736 26106732352 30185909282 39474637472 45642549577 60371818564 78949274944 91285099154 102387340943 120743637128 182570198308 204774681886 241487274256 365140396616 409549363772 482974548512 730280793232 819098727544 965949097024 1460561586464 1638197455088 2921123172928 3276394910176 3788331614891 6552789820352 7576663229782 15153326459564 30306652919128 60613305838256 121226611676512 242453223353024