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10404301040 = 2457412631723
BaseRepresentation
bin10011011000010010…
…10000100011110000
3222212002112020212222
421230021100203300
5132302000113130
64440224140212
7515554046120
oct115411204360
928762466788
1010404301040
114459a58401
122024467668
13c9a6a6663
14709b26c80
1540d620ce5
hex26c2508f0

10404301040 has 160 divisors (see below), whose sum is σ = 28444179456. Its totient is φ = 3464939520.

The previous prime is 10404300967. The next prime is 10404301057. The reversal of 10404301040 is 4010340401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6037619 + ... + 6039341.

Almost surely, 210404301040 is an apocalyptic number.

10404301040 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 10404301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14222089728).

10404301040 is an abundant number, since it is smaller than the sum of its proper divisors (18039878416).

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

10404301040 is a wasteful number, since it uses less digits than its factorization.

10404301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10404301040 its reverse (4010340401), we get a palindrome (14414641441).

The spelling of 10404301040 in words is "ten billion, four hundred four million, three hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 263 280 287 328 410 526 560 574 656 820 1052 1148 1315 1435 1640 1723 1841 2104 2296 2630 2870 3280 3446 3682 4208 4592 5260 5740 6892 7364 8615 9205 10520 10783 11480 12061 13784 14728 17230 18410 21040 21566 22960 24122 27568 29456 34460 36820 43132 48244 53915 60305 68920 70643 73640 75481 86264 96488 107830 120610 137840 141286 147280 150962 172528 192976 215660 241220 282572 301924 353215 377405 431320 453149 482440 494501 565144 603848 706430 754810 862640 906298 964880 989002 1130288 1207696 1412860 1509620 1812596 1978004 2265745 2472505 2825720 3019240 3172043 3625192 3956008 4531490 4945010 5651440 6038480 6344086 7250384 7912016 9062980 9890020 12688172 15860215 18125960 18579109 19780040 25376344 31720430 36251920 37158218 39560080 50752688 63440860 74316436 92895545 126881720 130053763 148632872 185791090 253763440 260107526 297265744 371582180 520215052 650268815 743164360 1040430104 1300537630 1486328720 2080860208 2601075260 5202150520 10404301040