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21040023241520 = 24513918061104761
BaseRepresentation
bin1001100100010110000110…
…00111001000001100110000
32202111101222101200021000022
410302023003013020030300
510224204431422212040
6112425353033343012
74301043250511153
oct462130307101460
982441871607008
1021040023241520
116782029675738
122439845267a68
13b980b13ab7ba
1452a4b1da1c9a
152674751756b5
hex1322c31c8330

21040023241520 has 80 divisors (see below), whose sum is σ = 49273180793760. Its totient is φ = 8354920089600.

The previous prime is 21040023241469. The next prime is 21040023241537. The reversal of 21040023241520 is 2514232004012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 21040023241520.

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 15 ways as a sum of consecutive naturals, for example, 200785940 + ... + 200890700.

It is an arithmetic number, because the mean of its divisors is an integer number (615914759922).

Almost surely, 221040023241520 is an apocalyptic number.

21040023241520 is a gapful number since it is divisible by the number (20) 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 21040023241520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24636590396880).

21040023241520 is an abundant number, since it is smaller than the sum of its proper divisors (28233157552240).

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

21040023241520 is a wasteful number, since it uses less digits than its factorization.

21040023241520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122974 (or 122968 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 21040023241520 its reverse (2514232004012), we get a palindrome (23554255245532).

The spelling of 21040023241520 in words is "twenty-one trillion, forty billion, twenty-three million, two hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 5560 11120 18061 36122 72244 90305 104761 144488 180610 209522 288976 361220 419044 523805 722440 838088 1047610 1444880 1676176 2095220 2510479 4190440 5020958 8380880 10041916 12552395 14561779 20083832 25104790 29123558 40167664 50209580 58247116 72808895 100419160 116494232 145617790 200838320 232988464 291235580 582471160 1164942320 1892088421 3784176842 7568353684 9460442105 15136707368 18920884210 30273414736 37841768420 75683536840 151367073680 263000290519 526000581038 1052001162076 1315001452595 2104002324152 2630002905190 4208004648304 5260005810380 10520011620760 21040023241520