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64321403355440 = 24571197331072823
BaseRepresentation
bin11101001111111111111100…
…11001100000000100110000
322102202001210012012100122122
432213333332121200010300
531412320213224333230
6344444502245453412
716356032223410330
oct1647777631400460
9272661705170578
1064321403355440
111954961037a780
127269b03a11268
1329b763683528a
1411c525b6070c0
15768232291be5
hex3a7ffe660130

64321403355440 has 160 divisors (see below), whose sum is σ = 186467865578496. Its totient is φ = 20046151111680.

The previous prime is 64321403355431. The next prime is 64321403355463. The reversal of 64321403355440 is 4455330412346.

It is a super-2 number, since 2×643214033554402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 64321403355391 and 64321403355400.

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, 59418869 + ... + 60491691.

Almost surely, 264321403355440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64321403355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93233932789248).

64321403355440 is an abundant number, since it is smaller than the sum of its proper divisors (122146462223056).

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

64321403355440 is a wasteful number, since it uses less digits than its factorization.

64321403355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082587 (or 1082581 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 44.

Adding to 64321403355440 its reverse (4455330412346), we get a palindrome (68776733767786).

The spelling of 64321403355440 in words is "sixty-four trillion, three hundred twenty-one billion, four hundred three million, three hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 9733 19466 38932 48665 68131 77864 97330 107063 136262 155728 194660 214126 272524 340655 389320 428252 535315 545048 681310 749441 778640 856504 1070630 1072823 1090096 1362620 1498882 1713008 2141260 2145646 2725240 2997764 3747205 4282520 4291292 5364115 5450480 5995528 7494410 7509761 8565040 8582584 10728230 11801053 11991056 14988820 15019522 17165168 21456460 23602106 29977640 30039044 37548805 42912920 47204212 59005265 59955280 60078088 75097610 82607371 85825840 94408424 118010530 120156176 150195220 165214742 188816848 236021060 300390440 330429484 413036855 472042120 600780880 660858968 826073710 944084240 1321717936 1652147420 3304294840 6608589680 10441786259 20883572518 41767145036 52208931295 73092503813 83534290072 104417862590 114859648849 146185007626 167068580144 208835725180 229719297698 292370015252 365462519065 417671450360 459438595396 574298244245 584740030504 730925038130 804017541943 835342900720 918877190792 1148596488490 1169480061008 1461850076260 1608035083886 1837754381584 2297192976980 2923700152520 3216070167772 4020087709715 4594385953960 5847400305040 6432140335544 8040175419430 9188771907920 12864280671088 16080350838860 32160701677720 64321403355440