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15421410400 = 2552112935981
BaseRepresentation
bin11100101110011000…
…00000110001100000
31110210202002211002011
432113030000301200
5223040340113100
611030130202304
71054104553114
oct162714006140
943722084064
1015421410400
1165a3a90980
122ba4723394
1315b9c45a16
14a6419d744
15603d06bba
hex397300c60

15421410400 has 144 divisors (see below), whose sum is σ = 41217080688. Its totient is φ = 5587712000.

The previous prime is 15421410341. The next prime is 15421410419. The reversal of 15421410400 is 401412451.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 23 ways as a sum of consecutive naturals, for example, 2575410 + ... + 2581390.

It is an arithmetic number, because the mean of its divisors is an integer number (286229727).

Almost surely, 215421410400 is an apocalyptic number.

15421410400 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 15421410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20608540344).

15421410400 is an abundant number, since it is smaller than the sum of its proper divisors (25795670288).

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

15421410400 is a wasteful number, since it uses less digits than its factorization.

15421410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305 (or 6292 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 15421410400 its reverse (401412451), we get a palindrome (15822822851).

The spelling of 15421410400 in words is "fifteen billion, four hundred twenty-one million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 293 352 400 440 550 586 800 880 1100 1172 1465 1760 2200 2344 2930 3223 4400 4688 5860 5981 6446 7325 8800 9376 11720 11962 12892 14650 16115 23440 23924 25784 29300 29905 32230 46880 47848 51568 58600 59810 64460 65791 80575 95696 103136 117200 119620 128920 131582 149525 161150 191392 234400 239240 257840 263164 299050 322300 328955 478480 515680 526328 598100 644600 657910 956960 1052656 1196200 1289200 1315820 1644775 1752433 2105312 2392400 2578400 2631640 3289550 3504866 4784800 5263280 6579100 7009732 8762165 10526560 13158200 14019464 17524330 19276763 26316400 28038928 35048660 38553526 43810825 52632800 56077856 70097320 77107052 87621650 96383815 140194640 154214104 175243300 192767630 280389280 308428208 350486600 385535260 481919075 616856416 700973200 771070520 963838150 1401946400 1542141040 1927676300 3084282080 3855352600 7710705200 15421410400