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21444025043100 = 223521139171658971
BaseRepresentation
bin1001110000000110100110…
…11111101100100010011100
32210221000202222100012202110
410320003103133230202130
510302314330402334400
6113335125450154020
74342164634251162
oct470032337544234
983830688305673
1021444025043100
1169183a6101870
1224a3bb4722910
13bc7216b1c56a
14541c79827232
15272c1d04ce50
hex1380d37ec89c

21444025043100 has 144 divisors (see below), whose sum is σ = 67702461515136. Its totient is φ = 5197221216000.

The previous prime is 21444025043053. The next prime is 21444025043101. The reversal of 21444025043100 is 134052044412.

It is a super-2 number, since 2×214440250431002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21444025043101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12096615 + ... + 13755585.

It is an arithmetic number, because the mean of its divisors is an integer number (470155982744).

Almost surely, 221444025043100 is an apocalyptic number.

21444025043100 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 21444025043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33851230757568).

21444025043100 is an abundant number, since it is smaller than the sum of its proper divisors (46258436472036).

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

21444025043100 is a wasteful number, since it uses less digits than its factorization.

21444025043100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662916 (or 1662909 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 21444025043100 its reverse (134052044412), we get a palindrome (21578077087512).

The spelling of 21444025043100 in words is "twenty-one trillion, four hundred forty-four billion, twenty-five million, forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3917 7834 11751 15668 19585 23502 39170 43087 47004 58755 78340 86174 97925 117510 129261 172348 195850 215435 235020 258522 293775 391700 430870 517044 587550 646305 861740 1077175 1175100 1292610 1658971 2154350 2585220 3231525 3317942 4308700 4976913 6463050 6635884 8294855 9953826 12926100 16589710 18248681 19907652 24884565 33179420 36497362 41474275 49769130 54746043 72994724 82948550 91243405 99538260 109492086 124422825 165897100 182486810 218984172 248845650 273730215 364973620 456217025 497691300 547460430 912434050 1094920860 1368651075 1824868100 2737302150 5474604300 6498189407 12996378814 19494568221 25992757628 32490947035 38989136442 64981894070 71480083477 77978272884 97472841105 129963788140 142960166954 162454735175 194945682210 214440250431 285920333908 324909470350 357400417385 389891364420 428880500862 487364205525 649818940700 714800834770 857761001724 974728411050 1072201252155 1429601669540 1787002086925 1949456822100 2144402504310 3574004173850 4288805008620 5361006260775 7148008347700 10722012521550 21444025043100