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24442010040 = 2335767434293
BaseRepresentation
bin10110110000110110…
…110111100110111000
32100002101221202111010
4112300312313212320
5400024123310130
615121205033520
71523460441330
oct266066674670
970071852433
1024442010040
11a4029719a8
1248a16b58a0
1323c6a59346
14127c2180c0
15980c020b0
hex5b0db79b8

24442010040 has 128 divisors (see below), whose sum is σ = 85052136960. Its totient is φ = 5503348224.

The previous prime is 24442010023. The next prime is 24442010059. The reversal of 24442010040 is 4001024442.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 24442009989 and 24442010016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160867 + ... + 273426.

It is an arithmetic number, because the mean of its divisors is an integer number (664469820).

Almost surely, 224442010040 is an apocalyptic number.

24442010040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24442010040 is an abundant number, since it is smaller than the sum of its proper divisors (60610126920).

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

24442010040 is a wasteful number, since it uses less digits than its factorization.

24442010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434381 (or 434377 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 24442010040 its reverse (4001024442), we get a palindrome (28443034482).

The spelling of 24442010040 in words is "twenty-four billion, four hundred forty-two million, ten thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 67 70 84 105 120 134 140 168 201 210 268 280 335 402 420 469 536 670 804 840 938 1005 1340 1407 1608 1876 2010 2345 2680 2814 3752 4020 4690 5628 7035 8040 9380 11256 14070 18760 28140 56280 434293 868586 1302879 1737172 2171465 2605758 3040051 3474344 4342930 5211516 6080102 6514395 8685860 9120153 10423032 12160204 13028790 15200255 17371720 18240306 24320408 26057580 29097631 30400510 36480612 45600765 52115160 58195262 60801020 72961224 87292893 91201530 116390524 121602040 145488155 174585786 182403060 203683417 232781048 290976310 349171572 364806120 407366834 436464465 581952620 611050251 698343144 814733668 872928930 1018417085 1163905240 1222100502 1629467336 1745857860 2036834170 2444201004 3055251255 3491715720 4073668340 4888402008 6110502510 8147336680 12221005020 24442010040