Search a number
-
+
4010070103440 = 243583919914929
BaseRepresentation
bin111010010110101010110…
…011011101010110010000
3112012100200200100221220020
4322112222303131112100
51011200110421302230
612310111211143440
7562501163322222
oct72265263352620
915170620327806
104010070103440
111306730038405
12549218444b80
132311c018c81b
14dc134910412
156e4a00b4810
hex3a5aacdd590

4010070103440 has 80 divisors (see below), whose sum is σ = 12446034652800. Its totient is φ = 1068077418496.

The previous prime is 4010070103433. The next prime is 4010070103471. The reversal of 4010070103440 is 443010700104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4010070103440.

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, 9756105 + ... + 10158824.

It is an arithmetic number, because the mean of its divisors is an integer number (155575433160).

Almost surely, 24010070103440 is an apocalyptic number.

4010070103440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4010070103440 is an abundant number, since it is smaller than the sum of its proper divisors (8435964549360).

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

4010070103440 is a wasteful number, since it uses less digits than its factorization.

4010070103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19915784 (or 19915778 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 4010070103440 its reverse (443010700104), we get a palindrome (4453080803544).

The spelling of 4010070103440 in words is "four trillion, ten billion, seventy million, one hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 839 1678 2517 3356 4195 5034 6712 8390 10068 12585 13424 16780 20136 25170 33560 40272 50340 67120 100680 201360 19914929 39829858 59744787 79659716 99574645 119489574 159319432 199149290 238979148 298723935 318638864 398298580 477958296 597447870 796597160 955916592 1194895740 1593194320 2389791480 4779582960 16708625431 33417250862 50125876293 66834501724 83543127155 100251752586 133669003448 167086254310 200503505172 250629381465 267338006896 334172508620 401007010344 501258762930 668345017240 802014020688 1002517525860 1336690034480 2005035051720 4010070103440