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2240310427124 = 22711191217917477
BaseRepresentation
bin100000100110011100111…
…010000011110111110100
321221011122002022101220212
4200212130322003313310
5243201123432131444
64433103455244552
7320566660301150
oct40463472036764
97834562271825
102240310427124
11794123916570
1230222b519758
13133350044993
147a608468060
153d42030719e
hex2099ce83df4

2240310427124 has 96 divisors (see below), whose sum is σ = 4916077608960. Its totient is φ = 867830198400.

The previous prime is 2240310427093. The next prime is 2240310427129. The reversal of 2240310427124 is 4217240130422.

2240310427124 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 2×22403104271242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240310427129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128177474 + ... + 128194950.

It is an arithmetic number, because the mean of its divisors is an integer number (51209141760).

Almost surely, 22240310427124 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 2240310427124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458038804480).

2240310427124 is an abundant number, since it is smaller than the sum of its proper divisors (2675767181836).

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

2240310427124 is a wasteful number, since it uses less digits than its factorization.

2240310427124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19869 (or 19867 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

Adding to 2240310427124 its reverse (4217240130422), we get a palindrome (6457550557546).

The spelling of 2240310427124 in words is "two trillion, two hundred forty billion, three hundred ten million, four hundred twenty-seven thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 191 308 382 764 1337 2101 2179 2674 4202 4358 5348 8404 8716 14707 15253 17477 23969 29414 30506 34954 47938 58828 61012 69908 95876 122339 167783 192247 244678 335566 384494 416189 489356 671132 768988 832378 1345729 1664756 2691458 2913323 3338107 4578079 5382916 5826646 6676214 9156158 11653292 13352428 18312316 23366749 32046553 36719177 38082383 46733498 64093106 73438354 76164766 93466996 128186212 146876708 152329532 257034239 266576681 418906213 514068478 533153362 837812426 1028136956 1066306724 1675624852 2932343491 5864686982 7273735153 11729373964 14547470306 29094940612 50916146071 80011086683 101832292142 160022173366 203664584284 320044346732 560077606781 1120155213562 2240310427124