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321204130413440 = 2754091227094019
BaseRepresentation
bin100100100001000100010101…
…0000101111111101110000000
31120010021211000010012221112212
41021002020222011333232000
5314100102024341212230
63055051050200041252
7124441142533243511
oct11102105205775600
91503254003187485
10321204130413440
11933889a793137a
1230037619463228
1310a2c55b926971
14594651199ca08
1527203cad16895
hex124222a17fb80

321204130413440 has 64 divisors (see below), whose sum is σ = 769756078746000. Its totient is φ = 128167515992064.

The previous prime is 321204130413427. The next prime is 321204130413457. The reversal of 321204130413440 is 44314031402123.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 321204130413397 and 321204130413406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 613285250 + ... + 613808769.

Almost surely, 2321204130413440 is an apocalyptic number.

It is an amenable number.

321204130413440 is an abundant number, since it is smaller than the sum of its proper divisors (448551948332560).

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

321204130413440 is a wasteful number, since it uses less digits than its factorization.

321204130413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227094447 (or 1227094435 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 321204130413440 its reverse (44314031402123), we get a palindrome (365518161815563).

The spelling of 321204130413440 in words is "three hundred twenty-one trillion, two hundred four billion, one hundred thirty million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 409 640 818 1636 2045 3272 4090 6544 8180 13088 16360 26176 32720 52352 65440 130880 261760 1227094019 2454188038 4908376076 6135470095 9816752152 12270940190 19633504304 24541880380 39267008608 49083760760 78534017216 98167521520 157068034432 196335043040 392670086080 501881453771 785340172160 1003762907542 2007525815084 2509407268855 4015051630168 5018814537710 8030103260336 10037629075420 16060206520672 20075258150840 32120413041344 40150516301680 64240826082688 80301032603360 160602065206720 321204130413440