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106234060003472 = 242310110993260003
BaseRepresentation
bin11000001001111010001011…
…011010001101100010010000
3111221010212200022001012210102
4120021322023122031202100
5102411014323330102342
61013535130423551532
731243105016643212
oct3011721332154220
9457125608035712
10106234060003472
11309386803a0525
12bab8a578bb5a8
134737aa105a0cb
141c33a824205b2
15c435d1e7e832
hex609e8b68d890

106234060003472 has 80 divisors (see below), whose sum is σ = 216924631970688. Its totient is φ = 50299778918400.

The previous prime is 106234060003441. The next prime is 106234060003481. The reversal of 106234060003472 is 274300060432601.

106234060003472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1062340600034722 (a number of 29 digits) contains 22 as substring.

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, 408457823 + ... + 408717825.

Almost surely, 2106234060003472 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 106234060003472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108462315985344).

106234060003472 is an abundant number, since it is smaller than the sum of its proper divisors (110690571967216).

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

106234060003472 is a wasteful number, since it uses less digits than its factorization.

106234060003472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271128 (or 271122 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 106234060003472 in words is "one hundred six trillion, two hundred thirty-four billion, sixty million, three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 46 92 101 184 202 368 404 808 1616 2323 4646 9292 10993 18584 21986 37168 43972 87944 175888 252839 260003 505678 520006 1011356 1040012 1110293 2022712 2080024 2220586 4045424 4160048 4441172 5980069 8882344 11960138 17764688 23920276 25536739 26260303 47840552 51073478 52520606 95681104 102146956 105041212 204293912 210082424 408587824 420164848 603986969 1207973938 2415947876 2858212979 4831895752 5716425958 9663791504 11432851916 22865703832 45731407664 65738898517 131477797034 262955594068 288679510879 525911188136 577359021758 1051822376272 1154718043516 2309436087032 4618872174064 6639628750217 13279257500434 26558515000868 53117030001736 106234060003472