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404103033020440 = 235131574949816671
BaseRepresentation
bin101101111100001111001000…
…1101111000110000000011000
31221222210212120011202120012001
41123320132101233012000120
5410431311002423123230
63551242212012130344
7151055323605105235
oct13370362157060030
91858725504676161
10404103033020440
1110783a152217526
12393a5a601669b4
13144639a232c170
1471b099676878c
1531ab9a973b0ca
hex16f8791bc6018

404103033020440 has 64 divisors (see below), whose sum is σ = 985409503061760. Its totient is φ = 148256908899840.

The previous prime is 404103033020429. The next prime is 404103033020443. The reversal of 404103033020440 is 44020330301404.

It is a super-2 number, since 2×4041030330204402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404103033020399 and 404103033020408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404103033020443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2474826696 + ... + 2474989975.

It is an arithmetic number, because the mean of its divisors is an integer number (15397023485340).

Almost surely, 2404103033020440 is an apocalyptic number.

404103033020440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404103033020440 is an abundant number, since it is smaller than the sum of its proper divisors (581306470041320).

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

404103033020440 is a wasteful number, since it uses less digits than its factorization.

404103033020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949816852 (or 4949816848 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 404103033020440 its reverse (44020330301404), we get a palindrome (448123363321844).

The spelling of 404103033020440 in words is "four hundred four trillion, one hundred three billion, thirty-three million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 157 260 314 520 628 785 1256 1570 2041 3140 4082 6280 8164 10205 16328 20410 40820 81640 4949816671 9899633342 19799266684 24749083355 39598533368 49498166710 64347616723 98996333420 128695233446 197992666840 257390466892 321738083615 514780933784 643476167230 777121217347 1286952334460 1554242434694 2573904668920 3108484869388 3885606086735 6216969738776 7771212173470 10102575825511 15542424346940 20205151651022 31084848693880 40410303302044 50512879127555 80820606604088 101025758255110 202051516510220 404103033020440