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102242043232014 = 237193531301278981
BaseRepresentation
bin10111001111110100010100…
…101010101111111100001110
3111102000020120210012112122110
4113033310110222233330032
5101400113201031411024
61001241202442124450
730351513100155630
oct2717642452577416
9442006523175573
10102242043232014
112a639674a616a4
12b5732394b0726
1345084ca181a5a
141b36781460a50
15bc483bcaa629
hex5cfd14aaff0e

102242043232014 has 128 divisors (see below), whose sum is σ = 246883268459520. Its totient is φ = 27574829568000.

The previous prime is 102242043231983. The next prime is 102242043232051. The reversal of 102242043232014 is 410232340242201.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 366344404 + ... + 366623384.

It is an arithmetic number, because the mean of its divisors is an integer number (1928775534840).

Almost surely, 2102242043232014 is an apocalyptic number.

102242043232014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102242043232014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123441634229760).

102242043232014 is an abundant number, since it is smaller than the sum of its proper divisors (144641225227506).

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

102242043232014 is a wasteful number, since it uses less digits than its factorization.

102242043232014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280666.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 102242043232014 its reverse (410232340242201), we get a palindrome (512474383474215).

The spelling of 102242043232014 in words is "one hundred two trillion, two hundred forty-two billion, forty-three million, two hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 353 399 706 798 1059 1301 2118 2471 2602 3903 4942 6707 7413 7806 9107 13414 14826 18214 20121 24719 27321 40242 46949 49438 54642 74157 93898 140847 148314 173033 278981 281694 346066 459253 519099 557962 836943 918506 1038198 1377759 1673886 1952867 2755518 3214771 3905734 5300639 5858601 6429542 8725807 9644313 10601278 11717202 15901917 17451614 19288626 26177421 31803834 37104473 52354842 61080649 74208946 98480293 111313419 122161298 183241947 196960586 222626838 295440879 362954281 366483894 590881758 689362051 725908562 1088862843 1378724102 1871125567 2068086153 2177725686 2540679967 3742251134 4136172306 5081359934 5613376701 6896131339 7622039901 11226753402 13097878969 13792262678 15244079802 20688394017 26195757938 39293636907 41376788034 48272919373 78587273814 96545838746 128122861193 144818758119 256245722386 289637516238 384368583579 768737167158 896860028351 1793720056702 2434334362667 2690580085053 4868668725334 5381160170106 7303003088001 14606006176002 17040340538669 34080681077338 51121021616007 102242043232014