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20211433440 = 2535112347993
BaseRepresentation
bin10010110100101100…
…011111111111100000
31221011120101012101220
4102310230133333200
5312343111332230
613141321055040
71313600230632
oct226454377740
957146335356
1020211433440
118631911100
123b00927480
131ba1436093
14d9a402a52
157d45d2d10
hex4b4b1ffe0

20211433440 has 144 divisors (see below), whose sum is σ = 69980201424. Its totient is φ = 4899727360.

The previous prime is 20211433439. The next prime is 20211433457. The reversal of 20211433440 is 4433411202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20211433440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115917 + ... + 232076.

It is an arithmetic number, because the mean of its divisors is an integer number (485973621).

Almost surely, 220211433440 is an apocalyptic number.

20211433440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211433440 is an abundant number, since it is smaller than the sum of its proper divisors (49768767984).

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

20211433440 is a wasteful number, since it uses less digits than its factorization.

20211433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348033 (or 348014 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20211433440 its reverse (4433411202), we get a palindrome (24644844642).

The spelling of 20211433440 in words is "twenty billion, two hundred eleven million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 58080 347993 695986 1043979 1391972 1739965 2087958 2783944 3479930 3827923 4175916 5219895 5567888 6959860 7655846 8351832 10439790 11135776 11483769 13919720 15311692 16703664 19139615 20879580 22967538 27839440 30623384 33407328 38279230 41759160 42107153 45935076 55678880 57418845 61246768 76558460 83518320 84214306 91870152 114837690 122493536 126321459 153116920 167036640 168428612 183740304 210535765 229675380 252642918 306233840 336857224 367480608 421071530 459350760 505285836 612467680 631607295 673714448 842143060 918701520 1010571672 1263214590 1347428896 1684286120 1837403040 2021143344 2526429180 3368572240 4042286688 5052858360 6737144480 10105716720 20211433440