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1003442404420 = 225315950035483
BaseRepresentation
bin11101001101000011101…
…00111111110001000100
310112221001121220200121001
432212201310333301010
5112420022223420140
62044550341103044
7132332144464351
oct16464164776104
93487047820531
101003442404420
11357615094325
121425829b7a84
137381651a731
14367d16d1628
151b17da97e9a
hexe9a1d3fc44

1003442404420 has 96 divisors (see below), whose sum is σ = 2212917719040. Its totient is φ = 381699818880.

The previous prime is 1003442404357. The next prime is 1003442404439. The reversal of 1003442404420 is 244042443001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183006999 + ... + 183012481.

It is an arithmetic number, because the mean of its divisors is an integer number (23051226240).

Almost surely, 21003442404420 is an apocalyptic number.

1003442404420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003442404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106458859520).

1003442404420 is an abundant number, since it is smaller than the sum of its proper divisors (1209475314620).

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

1003442404420 is a wasteful number, since it uses less digits than its factorization.

1003442404420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10585 (or 10583 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 1003442404420 its reverse (244042443001), we get a palindrome (1247484847421).

The spelling of 1003442404420 in words is "one trillion, three billion, four hundred forty-two million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 590 620 1180 1829 3658 5003 5483 7316 9145 10006 10966 18290 20012 21932 25015 27415 36580 50030 54830 100060 109660 155093 169973 295177 310186 323497 339946 590354 620372 646994 679892 775465 849865 1180708 1293988 1475885 1550930 1617485 1699730 2951770 3101860 3234970 3399460 5903540 6469940 9150487 10028407 18300974 20056814 27431449 36601948 40113628 45752435 50142035 54862898 91504870 100284070 109725796 137157245 183009740 200568140 274314490 548628980 850374919 1618455491 1700749838 3236910982 3401499676 4251874595 6473821964 8092277455 8503749190 16184554910 17007498380 32369109820 50172120221 100344240442 200688480884 250860601105 501721202210 1003442404420