Search a number
-
+
20241005022144 = 263366531760641
BaseRepresentation
bin1001001101000101110011…
…11010100000101111000000
32122200000120102221010212000
410212202321322200233000
510123112034241202034
6111014331144104000
74156235654635254
oct446427172405700
978600512833760
1020241005022144
1164a4186720295
12232aa13765000
13b3a94596050a
144dd9541a4264
152517ad166599
hex1268b9ea0bc0

20241005022144 has 112 divisors (see below), whose sum is σ = 59513784289440. Its totient is φ = 6745983713280.

The previous prime is 20241005022103. The next prime is 20241005022197. The reversal of 20241005022144 is 44122050014202.

It is a happy number.

20241005022144 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 10 + 0 + 502 + 2 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10616064 + ... + 12376704.

Almost surely, 220241005022144 is an apocalyptic number.

20241005022144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20241005022144 is an abundant number, since it is smaller than the sum of its proper divisors (39272779267296).

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

20241005022144 is a wasteful number, since it uses less digits than its factorization.

20241005022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767315 (or 1767299 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 20241005022144 its reverse (44122050014202), we get a palindrome (64363055036346).

The spelling of 20241005022144 in words is "twenty trillion, two hundred forty-one billion, five million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 6653 13306 19959 26612 39918 53224 59877 79836 106448 119754 159672 179631 212896 239508 319344 359262 425792 479016 638688 718524 958032 1277376 1437048 1760641 1916064 2874096 3521282 3832128 5281923 5748192 7042564 10563846 11496384 14085128 15845769 21127692 28170256 31691538 42255384 47537307 56340512 63383076 84510768 95074614 112681024 126766152 169021536 190149228 253532304 338043072 380298456 507064608 760596912 1014129216 1521193824 3042387648 11713544573 23427089146 35140633719 46854178292 70281267438 93708356584 105421901157 140562534876 187416713168 210843802314 281125069752 316265703471 374833426336 421687604628 562250139504 632531406942 749666852672 843375209256 1124500279008 1265062813884 1686750418512 2249000558016 2530125627768 3373500837024 5060251255536 6747001674048 10120502511072 20241005022144