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4013413452240 = 243519880134529
BaseRepresentation
bin111010011001110010000…
…101010100100111010000
3112012200022200110200020120
4322121302011110213100
51011223432320432430
612311423042510240
7562650061320633
oct72316205244720
915180280420216
104013413452240
11130809629a895
125499b0065380
13231603a3ba1a
14dc370971c1a
156e5e887b610
hex3a6721549d0

4013413452240 has 80 divisors (see below), whose sum is σ = 13096401806400. Its totient is φ = 1013914976256.

The previous prime is 4013413452179. The next prime is 4013413452271. The reversal of 4013413452240 is 422543143104.

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

It is a super-2 number, since 2×40134134522402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440062705 + ... + 440071824.

It is an arithmetic number, because the mean of its divisors is an integer number (163705022580).

Almost surely, 24013413452240 is an apocalyptic number.

4013413452240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013413452240 is an abundant number, since it is smaller than the sum of its proper divisors (9082988354160).

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

4013413452240 is a wasteful number, since it uses less digits than its factorization.

4013413452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880134564 (or 880134558 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 4013413452240 its reverse (422543143104), we get a palindrome (4435956595344).

The spelling of 4013413452240 in words is "four trillion, thirteen billion, four hundred thirteen million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 880134529 1760269058 2640403587 3520538116 4400672645 5280807174 7041076232 8801345290 10561614348 13202017935 14082152464 16722556051 17602690580 21123228696 26404035870 33445112102 35205381160 42246457392 50167668153 52808071740 66890224204 70410762320 83612780255 100335336306 105616143480 133780448408 167225560510 200670672612 211232286960 250838340765 267560896816 334451121020 401341345224 501676681530 668902242040 802682690448 1003353363060 1337804484080 2006706726120 4013413452240