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20242124244440 = 2357263274879471
BaseRepresentation
bin1001001101000111111001…
…01000000000010111011000
32122200010110102221112012122
410212203330220000113120
510123121332301310230
6111015034205000412
74156305465111110
oct446437450002730
978603412845178
1020242124244440
1164a470047459a
12232b086553108
13b3aa937b1627
144dda1caa8040
15251826547be5
hex1268fca005d8

20242124244440 has 64 divisors (see below), whose sum is σ = 52249090037760. Its totient is φ = 6913768429440.

The previous prime is 20242124244431. The next prime is 20242124244457. The reversal of 20242124244440 is 4444242124202.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 20242124244440.

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 15 ways as a sum of consecutive naturals, for example, 137366096 + ... + 137513375.

It is an arithmetic number, because the mean of its divisors is an integer number (816392031840).

Almost surely, 220242124244440 is an apocalyptic number.

20242124244440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20242124244440 is an abundant number, since it is smaller than the sum of its proper divisors (32006965793320).

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

20242124244440 is a wasteful number, since it uses less digits than its factorization.

20242124244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274879752 (or 274879748 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 35.

Adding to 20242124244440 its reverse (4444242124202), we get a palindrome (24686366368642).

The spelling of 20242124244440 in words is "twenty trillion, two hundred forty-two billion, one hundred twenty-four million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 263 280 526 1052 1315 1841 2104 2630 3682 5260 7364 9205 10520 14728 18410 36820 73640 274879471 549758942 1099517884 1374397355 1924156297 2199035768 2748794710 3848312594 5497589420 7696625188 9620781485 10995178840 15393250376 19241562970 38483125940 72293300873 76966251880 144586601746 289173203492 361466504365 506053106111 578346406984 722933008730 1012106212222 1445866017460 2024212424444 2530265530555 2891732034920 4048424848888 5060531061110 10121062122220 20242124244440