Search a number
-
+
23121343440 = 24325132470229
BaseRepresentation
bin10101100010001000…
…111011001111010000
32012200100212221111100
4111202020323033100
5334323030442230
614342150344400
71445653114356
oct254210731720
965610787440
1023121343440
1198954395a8
12459335b100
132246266710
141194a777d6
15904ccd660
hex56223b3d0

23121343440 has 120 divisors (see below), whose sum is σ = 83622225960. Its totient is φ = 5691405312.

The previous prime is 23121343429. The next prime is 23121343457. The reversal of 23121343440 is 4434312132.

23121343440 is a `hidden beast` number, since 2 + 3 + 1 + 213 + 4 + 3 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4792515984 + 18328827456 = 69228^2 + 135384^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225755 + ... + 1244474.

It is an arithmetic number, because the mean of its divisors is an integer number (696851883).

Almost surely, 223121343440 is an apocalyptic number.

23121343440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23121343440 is an abundant number, since it is smaller than the sum of its proper divisors (60500882520).

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

23121343440 is a wasteful number, since it uses less digits than its factorization.

23121343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470261 (or 2470252 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23121343440 its reverse (4434312132), we get a palindrome (27555655572).

The spelling of 23121343440 in words is "twenty-three billion, one hundred twenty-one million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 2470229 4940458 7410687 9880916 12351145 14821374 19761832 22232061 24702290 29642748 32112977 37053435 39523664 44464122 49404580 59285496 64225954 74106870 88928244 96338931 98809160 111160305 118570992 128451908 148213740 160564885 177856488 192677862 197618320 222320610 256903816 289016793 296427480 321129770 355712976 385355724 444641220 481694655 513807632 578033586 592854960 642259540 770711448 889282440 963389310 1156067172 1284519080 1445083965 1541422896 1778564880 1926778620 2312134344 2569038160 2890167930 3853557240 4624268688 5780335860 7707114480 11560671720 23121343440