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1004032411420 = 225691198736563
BaseRepresentation
bin11101001110001001111…
…11101100011100011100
310112222120202010011001011
432213010333230130130
5112422224244131140
62045125055025004
7132352600453363
oct16470477543434
93488522104034
101004032411420
11357898137315
1214270850b164
13738ab8279bc
1436849bd67da
151b1b578ecea
hexe9c4fec71c

1004032411420 has 48 divisors (see below), whose sum is σ = 2112639838848. Its totient is φ = 400818968640.

The previous prime is 1004032411397. The next prime is 1004032411429. The reversal of 1004032411420 is 241142304001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1004032411391 and 1004032411400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004032411429) 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, 27442059 + ... + 27478621.

It is an arithmetic number, because the mean of its divisors is an integer number (44013329976).

Almost surely, 21004032411420 is an apocalyptic number.

1004032411420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004032411420 is an abundant number, since it is smaller than the sum of its proper divisors (1108607427428).

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

1004032411420 is a wasteful number, since it uses less digits than its factorization.

1004032411420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39250 (or 39248 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1004032411420 its reverse (241142304001), we get a palindrome (1245174715421).

The spelling of 1004032411420 in words is "one trillion, four billion, thirty-two million, four hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 691 1382 1987 2764 3455 3974 6910 7948 9935 13820 19870 36563 39740 73126 146252 182815 365630 731260 1373017 2746034 5492068 6865085 13730170 25265033 27460340 50530066 72650681 101060132 126325165 145301362 252650330 290602724 363253405 505300660 726506810 1453013620 50201620571 100403241142 200806482284 251008102855 502016205710 1004032411420