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20240442420440 = 23511229144203779
BaseRepresentation
bin1001001101000100110000…
…11000010110110011011000
32122122222010020022000101212
410212202120120112303120
510123104411224423230
6111014155245402252
74156216013620124
oct446423030266330
978588106260355
1020240442420440
1164a3a18096300
12232a897269388
13b3a88622a1b8
144dd8dd594584
15251778a84895
hex126898616cd8

20240442420440 has 96 divisors (see below), whose sum is σ = 51783577398000. Its totient is φ = 7106362179840.

The previous prime is 20240442420421. The next prime is 20240442420467. The reversal of 20240442420440 is 4402424404202.

It is a junction number, because it is equal to n+sod(n) for n = 20240442420397 and 20240442420406.

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 23 ways as a sum of consecutive naturals, for example, 71961530 + ... + 72242249.

Almost surely, 220240442420440 is an apocalyptic number.

20240442420440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20240442420440 is an abundant number, since it is smaller than the sum of its proper divisors (31543134977560).

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

20240442420440 is a wasteful number, since it uses less digits than its factorization.

20240442420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144203841 (or 144203826 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 20240442420440 its reverse (4402424404202), we get a palindrome (24642866824642).

The spelling of 20240442420440 in words is "twenty trillion, two hundred forty billion, four hundred forty-two million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 121 145 220 232 242 290 319 440 484 580 605 638 968 1160 1210 1276 1595 2420 2552 3190 3509 4840 6380 7018 12760 14036 17545 28072 35090 70180 140360 144203779 288407558 576815116 721018895 1153630232 1442037790 1586241569 2884075580 3172483138 4181909591 5768151160 6344966276 7931207845 8363819182 12689932552 15862415690 16727638364 17448657259 20909547955 31724831380 33455276728 34897314518 41819095910 46001005501 63449662760 69794629036 83638191820 87243286295 92002011002 139589258072 167276383640 174486572590 184004022004 230005027505 348973145180 368008044008 460010055010 506011060511 697946290360 920020110020 1012022121022 1840040220040 2024044242044 2530055302555 4048088484088 5060110605110 10120221210220 20240442420440