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23431444144240 = 24511294321352559
BaseRepresentation
bin1010101001111100011101…
…11001111010000001110000
310001222000122122000011221111
411110332032321322001300
511032400044200103430
6121500131251003104
74635603013006636
oct524761671720160
9101860578004844
1023431444144240
1175142463aa080
122765207299494
13100c763a80782
145b0133485356
152a978b7b1c2a
hex154f8ee7a070

23431444144240 has 160 divisors (see below), whose sum is σ = 62909766374400. Its totient is φ = 8035394626560.

The previous prime is 23431444144201. The next prime is 23431444144261. The reversal of 23431444144240 is 4244144413432.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 23431444144193 and 23431444144202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9578920 + ... + 11773639.

It is an arithmetic number, because the mean of its divisors is an integer number (393186039840).

Almost surely, 223431444144240 is an apocalyptic number.

23431444144240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23431444144240 is an abundant number, since it is smaller than the sum of its proper divisors (39478322230160).

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

23431444144240 is a wasteful number, since it uses less digits than its factorization.

23431444144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21352655 (or 21352649 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 23431444144240 its reverse (4244144413432), we get a palindrome (27675588557672).

The spelling of 23431444144240 in words is "twenty-three trillion, four hundred thirty-one billion, four hundred forty-four million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 43 44 55 58 80 86 88 110 116 145 172 176 215 220 232 290 319 344 430 440 464 473 580 638 688 860 880 946 1160 1247 1276 1595 1720 1892 2320 2365 2494 2552 3190 3440 3784 4730 4988 5104 6235 6380 7568 9460 9976 12470 12760 13717 18920 19952 24940 25520 27434 37840 49880 54868 68585 99760 109736 137170 219472 274340 548680 1097360 21352559 42705118 85410236 106762795 170820472 213525590 234878149 341640944 427051180 469756298 619224211 854102360 918160037 939512596 1174390745 1238448422 1708204720 1836320074 1879025192 2348781490 2476896844 3096121055 3672640148 3758050384 4590800185 4697562980 4953793688 6192242110 6811466321 7345280296 9181600370 9395125960 9907587376 10099760407 12384484220 13622932642 14690560592 18363200740 18790251920 20199520814 24768968440 26626641073 27245865284 34057331605 36726401480 40399041628 49537936880 50498802035 53253282146 54491730568 68114663210 73452802960 80798083256 100997604070 106506564292 108983461136 133133205365 136229326420 161596166512 201995208140 213013128584 266266410730 272458652840 292893051803 403990416280 426026257168 532532821460 544917305680 585786103606 807980832560 1065065642920 1171572207212 1464465259015 2130131285840 2343144414424 2928930518030 4686288828848 5857861036060 11715722072120 23431444144240