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134223631872 = 2931112896163
BaseRepresentation
bin111110100000001011…
…0100001011000000000
3110211110021102222022220
41331000112201120000
54144342222204442
6141354514131040
712461121021621
oct1750026413000
9424407388286
10134223631872
1151a18817290
122201b280a80
13c870c35aa5
1466d43d3a48
153758a5eeec
hex1f405a1600

134223631872 has 160 divisors (see below), whose sum is σ = 390453402240. Its totient is φ = 40635678720.

The previous prime is 134223631831. The next prime is 134223631931. The reversal of 134223631872 is 278136322431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21775863 + ... + 21782025.

It is an arithmetic number, because the mean of its divisors is an integer number (2440333764).

Almost surely, 2134223631872 is an apocalyptic number.

134223631872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134223631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195226701120).

134223631872 is an abundant number, since it is smaller than the sum of its proper divisors (256229770368).

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

134223631872 is a wasteful number, since it uses less digits than its factorization.

134223631872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7484 (or 7468 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The spelling of 134223631872 in words is "one hundred thirty-four billion, two hundred twenty-three million, six hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1289 1408 1536 2112 2578 2816 3867 4224 5156 5632 6163 7734 8448 10312 12326 14179 15468 16896 18489 20624 24652 28358 30936 36978 41248 42537 49304 56716 61872 67793 73956 82496 85074 98608 113432 123744 135586 147912 164992 170148 197216 203379 226864 247488 271172 295824 329984 340296 394432 406758 453728 494976 542344 591648 659968 680592 788864 813516 907456 989952 1084688 1183296 1361184 1577728 1627032 1814912 1979904 2169376 2366592 2722368 3155456 3254064 3629824 4338752 4733184 5444736 6508128 7259648 7944107 8677504 9466368 10889472 13016256 15888214 17355008 21778944 23832321 26032512 31776428 34710016 47664642 52065024 63552856 87385177 95329284 104130048 127105712 174770354 190658568 254211424 262155531 349540708 381317136 508422848 524311062 699081416 762634272 1016845696 1048622124 1398162832 1525268544 2033691392 2097244248 2796325664 3050537088 4067382784 4194488496 5592651328 6101074176 8388976992 11185302656 12202148352 16777953984 22370605312 33555907968 44741210624 67111815936 134223631872