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1003041430004 = 22671071371991283
BaseRepresentation
bin11101001100010011110…
…11011001100111110100
310112220000200102002002202
432212021323121213310
5112413212101230004
62044442454524032
7132316205323625
oct16461173314764
93486020362082
101003041430004
11357429813309
12142490666618
1373781427773
1436794355a4c
151b158790b1e
hexe989ed99f4

1003041430004 has 96 divisors (see below), whose sum is σ = 1821817267200. Its totient is φ = 483027570432.

The previous prime is 1003041429989. The next prime is 1003041430019. The reversal of 1003041430004 is 4000341403001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1003041429989) and next prime (1003041430019).

It is a super-2 number, since 2×10030414300042 (a number of 25 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781793147 + ... + 781794429.

It is an arithmetic number, because the mean of its divisors is an integer number (18977263200).

Almost surely, 21003041430004 is an apocalyptic number.

It is an amenable number.

1003041430004 is a deficient number, since it is larger than the sum of its proper divisors (818775837196).

1003041430004 is a wasteful number, since it uses less digits than its factorization.

1003041430004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1003041430004 its reverse (4000341403001), we get a palindrome (5003382833005).

The spelling of 1003041430004 in words is "one trillion, three billion, forty-one million, four hundred thirty thousand, four".

Divisors: 1 2 4 67 107 134 137 199 214 268 274 398 428 548 796 1283 2566 5132 7169 9179 13333 14338 14659 18358 21293 26666 27263 28676 29318 36716 42586 53332 54526 58636 85172 85961 109052 137281 171922 175771 255317 274562 343844 351542 510634 549124 703084 982153 1021268 1426631 1826621 1964306 2853262 2917141 3653242 3928612 5706524 5834282 7306484 9197827 11668564 11776657 17106239 18395654 18807497 23553314 27318919 34212478 34978429 36791308 37614994 47106628 54637838 68424956 69956858 75229988 109275676 139913716 195448447 390896894 781793788 1260102299 1830367573 2343554743 2520204598 3660735146 3742691903 4687109486 5040409196 7321470292 7485383806 9374218972 14970767612 250760357501 501520715002 1003041430004