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2314244422098 = 2337423937459
BaseRepresentation
bin100001101011010011101…
…101110111100111010010
322012020110200011111101000
4201223103231313213102
5300404033033001343
64531052121322430
7326125064010000
oct41532355674722
98166420144330
102314244422098
1181251370a254
12314623936416
1313a3035106bb
148001d731a70
15402eaea0ed3
hex21ad3b779d2

2314244422098 has 160 divisors (see below), whose sum is σ = 6002847748800. Its totient is φ = 660847771584.

The previous prime is 2314244422097. The next prime is 2314244422099. The reversal of 2314244422098 is 8902244424132.

2314244422098 is a `hidden beast` number, since 2 + 314 + 24 + 4 + 4 + 220 + 98 = 666.

It is an interprime number because it is at equal distance from previous prime (2314244422097) and next prime (2314244422099).

It is not an unprimeable number, because it can be changed into a prime (2314244422097) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 310258293 + ... + 310265751.

It is an arithmetic number, because the mean of its divisors is an integer number (37517798430).

Almost surely, 22314244422098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314244422098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001423874400).

2314244422098 is an abundant number, since it is smaller than the sum of its proper divisors (3688603326702).

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

2314244422098 is an equidigital number, since it uses as much as digits as its factorization.

2314244422098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9891 (or 9864 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 2314244422098 in words is "two trillion, three hundred fourteen billion, two hundred forty-four million, four hundred twenty-two thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 343 378 441 686 882 1029 1323 2058 2393 2401 2646 3087 4786 4802 6174 7179 7203 7459 9261 14358 14406 14918 16751 18522 21537 21609 22377 33502 43074 43218 44754 50253 52213 64611 64827 67131 100506 104426 117257 129222 129654 134262 150759 156639 201393 234514 301518 313278 351771 365491 402786 452277 469917 703542 730982 820799 904554 939834 1055313 1096473 1409751 1641598 2110626 2192946 2462397 2558437 2819502 3165939 3289419 4924794 5116874 5745593 6331878 6578838 7387191 7675311 9868257 11491186 14774382 15350622 17236779 17849387 17909059 19736514 22161573 23025933 34473558 35698774 35818118 44323146 46051866 51710337 53548161 53727177 69077799 103420674 107096322 107454354 124945709 138155598 155131011 160644483 161181531 249891418 310262022 321288966 322363062 374837127 481933449 483544593 749674254 874619963 963866898 967089186 1124511381 1749239926 2249022762 2623859889 3373534143 5247719778 6122339741 6747068286 7871579667 12244679482 15743159334 18367019223 23614739001 36734038446 42856378187 47229478002 55101057669 85712756374 110202115338 128569134561 165303173007 257138269122 330606346014 385707403683 771414807366 1157122211049 2314244422098