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11432014320 = 2435371379397
BaseRepresentation
bin10101010010110011…
…01011000111110000
31002111201100111110210
422221121223013300
5141403043424240
65130215424120
7553203342546
oct125131530760
932451314423
1011432014320
11493708a621
122270685040
131102597a1c
147a6409d96
1546d978780
hex2a966b1f0

11432014320 has 160 divisors (see below), whose sum is σ = 36666635328. Its totient is φ = 2944180224.

The previous prime is 11432014261. The next prime is 11432014333. The reversal of 11432014320 is 2341023411.

11432014320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1211862 + ... + 1221258.

Almost surely, 211432014320 is an apocalyptic number.

11432014320 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 11432014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18333317664).

11432014320 is an abundant number, since it is smaller than the sum of its proper divisors (25234621008).

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

11432014320 is a wasteful number, since it uses less digits than its factorization.

11432014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9587 (or 9581 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11432014320 its reverse (2341023411), we get a palindrome (13773037731).

Subtracting from 11432014320 its reverse (2341023411), we obtain a palindrome (9090990909).

The spelling of 11432014320 in words is "eleven billion, four hundred thirty-two million, fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 137 148 185 222 240 274 296 370 411 444 548 555 592 685 740 822 888 1096 1110 1370 1480 1644 1776 2055 2192 2220 2740 2960 3288 4110 4440 5069 5480 6576 8220 8880 9397 10138 10960 15207 16440 18794 20276 25345 28191 30414 32880 37588 40552 46985 50690 56382 60828 75176 76035 81104 93970 101380 112764 121656 140955 150352 152070 187940 202760 225528 243312 281910 304140 347689 375880 405520 451056 563820 608280 695378 751760 1043067 1127640 1216560 1287389 1390756 1738445 2086134 2255280 2574778 2781512 3476890 3862167 4172268 5149556 5215335 5563024 6436945 6953780 7724334 8344536 10299112 10430670 12873890 13907560 15448668 16689072 19310835 20598224 20861340 25747780 27815120 30897336 38621670 41722680 47633393 51495560 61794672 77243340 83445360 95266786 102991120 142900179 154486680 190533572 238166965 285800358 308973360 381067144 476333930 571600716 714500895 762134288 952667860 1143201432 1429001790 1905335720 2286402864 2858003580 3810671440 5716007160 11432014320