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21444240120 = 2335613378693
BaseRepresentation
bin10011111110001011…
…010010001011111000
32001100111010021020120
4103332023102023320
5322404211140440
613503520253240
71356260014332
oct237613221370
961314107216
1021444240120
119104794aa6
1241a5771220
132039975ba4
141076032452
1585794ddd0
hex4fe2d22f8

21444240120 has 128 divisors (see below), whose sum is σ = 65588927040. Its totient is φ = 5607383040.

The previous prime is 21444240107. The next prime is 21444240131. The reversal of 21444240120 is 2104244412.

It is a super-2 number, since 2×214442401202 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2462494 + ... + 2471186.

Almost surely, 221444240120 is an apocalyptic number.

21444240120 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 21444240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32794463520).

21444240120 is an abundant number, since it is smaller than the sum of its proper divisors (44144686920).

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

21444240120 is a wasteful number, since it uses less digits than its factorization.

21444240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9105 (or 9101 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 21444240120 its reverse (2104244412), we get a palindrome (23548484532).

The spelling of 21444240120 in words is "twenty-one billion, four hundred forty-four million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 337 366 488 610 674 732 915 1011 1220 1348 1464 1685 1830 2022 2440 2696 3370 3660 4044 5055 6740 7320 8088 8693 10110 13480 17386 20220 20557 26079 34772 40440 41114 43465 52158 61671 69544 82228 86930 102785 104316 123342 130395 164456 173860 205570 208632 246684 260790 308355 347720 411140 493368 521580 530273 616710 822280 1043160 1060546 1233420 1590819 2121092 2466840 2651365 2929541 3181638 4242184 5302730 5859082 6363276 7954095 8788623 10605460 11718164 12726552 14647705 15908190 17577246 21210920 23436328 29295410 31816380 35154492 43943115 58590820 63632760 70308984 87886230 117181640 175772460 178702001 351544920 357404002 536106003 714808004 893510005 1072212006 1429616008 1787020010 2144424012 2680530015 3574040020 4288848024 5361060030 7148080040 10722120060 21444240120