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142466241641016 = 233192991911722861
BaseRepresentation
bin100000011001001010000001…
…101110011011101000111000
3200200102122021022222210010210
4200121022001232123220320
5122133131330330003031
61223000030552311120
742002563164250026
oct4031120156335070
9620378238883123
10142466241641016
1141437659356797
1213b8aab40a24a0
1361656801b2a97
14272758d743716
151170d19580746
hex819281b9ba38

142466241641016 has 128 divisors (see below), whose sum is σ = 388261189440000. Its totient is φ = 43390712655360.

The previous prime is 142466241640909. The next prime is 142466241641021. The reversal of 142466241641016 is 610146142664241.

It is a super-2 number, since 2×1424662416410162 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6291426 + ... + 18014286.

It is an arithmetic number, because the mean of its divisors is an integer number (3033290542500).

Almost surely, 2142466241641016 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 142466241641016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194130594720000).

142466241641016 is an abundant number, since it is smaller than the sum of its proper divisors (245794947798984).

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

142466241641016 is a wasteful number, since it uses less digits than its factorization.

142466241641016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11723837 (or 11723833 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 142466241641016 in words is "one hundred forty-two trillion, four hundred sixty-six billion, two hundred forty-one million, six hundred forty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 456 551 696 919 1102 1653 1838 2204 2757 3306 3676 4408 5514 6612 7352 11028 13224 17461 22056 26651 34922 52383 53302 69844 79953 104766 106604 139688 159906 209532 213208 319812 419064 506369 639624 1012738 1519107 2025476 3038214 4050952 6076428 11722861 12152856 23445722 35168583 46891444 70337166 93782888 140674332 222734359 281348664 339962969 445468718 668203077 679925938 890937436 1019888907 1336406154 1359851876 1781874872 2039777814 2672812308 2719703752 4079555628 5345624616 6459296411 8159111256 10773309259 12918592822 19377889233 21546618518 25837185644 32319927777 38755778466 43093237036 51674371288 64639855554 77511556932 86186474072 129279711108 155023113864 204692875921 258559422216 312425968511 409385751842 614078627763 624851937022 818771503684 937277905533 1228157255526 1249703874044 1637543007368 1874555811066 2456314511052 2499407748088 3749111622132 4912629022104 5936093401709 7498223244264 11872186803418 17808280205127 23744373606836 35616560410254 47488747213672 71233120820508 142466241641016