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2415840485142 = 2371941471571027
BaseRepresentation
bin100011001001111011010…
…100000101111100010110
322112221201002002020111210
4203021323110011330112
5304040120131011032
65045453301442250
7336352531210350
oct43117324057426
98487632066453
102415840485142
11851608a78117
12330258110386
13146a748a7c36
1484cda7400d0
1542c953ad2cc
hex2327b505f16

2415840485142 has 128 divisors (see below), whose sum is σ = 6081009500160. Its totient is φ = 624388573440.

The previous prime is 2415840485111. The next prime is 2415840485209.

2415840485142 is nontrivially palindromic in base 10.

2415840485142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24158404851422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2415840485091 and 2415840485100.

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, 752233 + ... + 2323259.

It is an arithmetic number, because the mean of its divisors is an integer number (47507886720).

Almost surely, 22415840485142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2415840485142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040504750080).

2415840485142 is an abundant number, since it is smaller than the sum of its proper divisors (3665169015018).

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

2415840485142 is a wasteful number, since it uses less digits than its factorization.

2415840485142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571146.

The product of its (nonzero) digits is 1638400, while the sum is 48.

The spelling of 2415840485142 in words is "two trillion, four hundred fifteen billion, eight hundred forty million, four hundred eighty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 41 42 47 57 82 94 114 123 133 141 246 266 282 287 329 399 574 658 779 798 861 893 987 1558 1722 1786 1927 1974 2337 2679 3854 4674 5358 5453 5781 6251 10906 11562 12502 13489 16359 18753 26978 32718 36613 37506 40467 73226 80934 109839 219678 256291 512582 768873 1537746 1571027 3142054 4713081 9426162 10997189 21994378 29849513 32991567 59699026 64412107 65983134 73838269 89548539 128824214 147676538 179097078 193236321 208946591 221514807 386472642 417893182 443029614 450884749 516867883 626839773 901769498 1033735766 1223830033 1253679546 1352654247 1402927111 1550603649 2447660066 2705308494 2805854222 3027369029 3101207298 3671490099 4208781333 6054738058 7342980198 8417562666 8566810231 9082107087 9820489777 17133620462 18164214174 19640979554 21191583203 25700430693 29461469331 42383166406 51400861386 57520011551 58922938662 63574749609 115040023102 127149499218 172560034653 345120069306 402640080857 805280161714 1207920242571 2415840485142