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2214445314144 = 253719173437133
BaseRepresentation
bin100000001110010111001…
…110011111000001100000
321211200212111112112012110
4200032113032133001200
5242240141000023034
64413145132155320
7315663006412410
oct40162716370140
97750774475173
102214445314144
11784160716338
122b9211308b40
13130a8a50b2bb
1479273246640
153c9096e9de9
hex2039739f060

2214445314144 has 96 divisors (see below), whose sum is σ = 6992985242880. Its totient is φ = 599398728192.

The previous prime is 2214445314113. The next prime is 2214445314223. The reversal of 2214445314144 is 4414135444122.

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

It is a congruent number.

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, 86705799 + ... + 86731334.

It is an arithmetic number, because the mean of its divisors is an integer number (72843596280).

Almost surely, 22214445314144 is an apocalyptic number.

2214445314144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2214445314144 is an abundant number, since it is smaller than the sum of its proper divisors (4778539928736).

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

2214445314144 is a wasteful number, since it uses less digits than its factorization.

2214445314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173437172 (or 173437164 counting only the distinct ones).

The product of its digits is 245760, while the sum is 39.

The spelling of 2214445314144 in words is "two trillion, two hundred fourteen billion, four hundred forty-five million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 173437133 346874266 520311399 693748532 1040622798 1214059931 1387497064 2081245596 2428119862 2774994128 3295305527 3642179793 4162491192 4856239724 5549988256 6590611054 7284359586 8324982384 9712479448 9885916581 13181222108 14568719172 16649964768 19424958896 19771833162 23067138689 26362444216 29137438344 38849917792 39543666324 46134277378 52724888432 58274876688 69201416067 79087332648 92268554756 105449776864 116549753376 138402832134 158174665296 184537109512 276805664268 316349330592 369074219024 553611328536 738148438048 1107222657072 2214445314144