Search a number
-
+
4013424100440 = 2332534913193469
BaseRepresentation
bin111010011001110010101…
…101111100010001011000
3112012200100102111122211100
4322121302231330101120
51011223443032203230
612311424103031400
7562650250660146
oct72316255742130
915180312448740
104013424100440
1113080a1302a57
125499b373b560
13231605cc9631
14dc372144596
156e5e9781660
hex3a672b7c458

4013424100440 has 96 divisors (see below), whose sum is σ = 13047368770800. Its totient is φ = 1069939518720.

The previous prime is 4013424100423. The next prime is 4013424100447. The reversal of 4013424100440 is 440014243104.

It is a super-2 number, since 2×40134241004402 (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 (4013424100447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339975 + ... + 2853494.

Almost surely, 24013424100440 is an apocalyptic number.

4013424100440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013424100440 is an abundant number, since it is smaller than the sum of its proper divisors (9033944670360).

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

4013424100440 is a wasteful number, since it uses less digits than its factorization.

4013424100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196977 (or 3196970 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4013424100440 its reverse (440014243104), we get a palindrome (4453438343544).

The spelling of 4013424100440 in words is "four trillion, thirteen billion, four hundred twenty-four million, one hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3491 6982 10473 13964 17455 20946 27928 31419 34910 41892 52365 62838 69820 83784 104730 125676 139640 157095 209460 251352 314190 418920 628380 1256760 3193469 6386938 9580407 12773876 15967345 19160814 25547752 28741221 31934690 38321628 47902035 57482442 63869380 76643256 95804070 114964884 127738760 143706105 191608140 229929768 287412210 383216280 574824420 1149648840 11148400279 22296800558 33445200837 44593601116 55742001395 66890401674 89187202232 100335602511 111484002790 133780803348 167226004185 200671205022 222968005580 267561606696 334452008370 401342410044 445936011160 501678012555 668904016740 802684820088 1003356025110 1337808033480 2006712050220 4013424100440