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4014448269912 = 233419509640589
BaseRepresentation
bin111010011010101111110…
…000110101101001011000
3112012202222210122212020000
4322122233300311221120
51011233042224114122
612312113450333000
7563014525164033
oct72325760655130
915182883585200
104014448269912
111308577434703
1254a03a72a160
1323173a249982
14dc42c18401a
156e6596390ac
hex3a6afc35a58

4014448269912 has 160 divisors (see below), whose sum is σ = 11859242670000. Its totient is φ = 1265227921152.

The previous prime is 4014448269911. The next prime is 4014448269947. The reversal of 4014448269912 is 2199628444104.

4014448269912 is a `hidden beast` number, since 4 + 0 + 14 + 4 + 482 + 69 + 91 + 2 = 666.

It is a super-2 number, since 2×40144482699122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014448269911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5946514 + ... + 6587102.

Almost surely, 24014448269912 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 4014448269912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929621335000).

4014448269912 is an abundant number, since it is smaller than the sum of its proper divisors (7844794400088).

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

4014448269912 is a wasteful number, since it uses less digits than its factorization.

4014448269912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641135 (or 641122 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 4014448269912 in words is "four trillion, fourteen billion, four hundred forty-eight million, two hundred sixty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 509 513 648 684 1018 1026 1368 1527 1539 2036 2052 3054 3078 4072 4104 4581 6108 6156 9162 9671 12216 12312 13743 18324 19342 27486 29013 36648 38684 41229 54972 58026 77368 82458 87039 109944 116052 164916 174078 232104 261117 329832 348156 522234 640589 696312 783351 1044468 1281178 1566702 1921767 2088936 2562356 3133404 3843534 5124712 5765301 6266808 7687068 11530602 12171191 15374136 17295903 23061204 24342382 34591806 36513573 46122408 48684764 51887709 69183612 73027146 97369528 103775418 109540719 138367224 146054292 207550836 219081438 292108584 326059801 328622157 415101672 438162876 652119602 657244314 876325752 978179403 985866471 1304239204 1314488628 1956358806 1971732942 2608478408 2628977256 2934538209 3912717612 3943465884 5869076418 6195136219 7825435224 7886931768 8803614627 11738152836 12390272438 17607229254 18585408657 23476305672 24780544876 26410843881 35214458508 37170817314 49561089752 52821687762 55756225971 70428917016 74341634628 105643375524 111512451942 148683269256 167268677913 211286751048 223024903884 334537355826 446049807768 501806033739 669074711652 1003612067478 1338149423304 2007224134956 4014448269912