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321003030400040 = 235137347111124067
BaseRepresentation
bin100100011111100110101011…
…1100110010100110000101000
31120002120120221010001210100102
41020333031113212110300220
5314033303201240300130
63054414431212524532
7124420463224316402
oct11077152746246050
91502516833053312
10321003030400040
119331069114689a
1230004655480748
1310a165c07509b1
14593a8b5777b72
15271a05b007645
hex123f357994c28

321003030400040 has 64 divisors (see below), whose sum is σ = 722804029234560. Its totient is φ = 128303935755520.

The previous prime is 321003030400007. The next prime is 321003030400099. The reversal of 321003030400040 is 40004030300123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 321003030399985 and 321003030400021.

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, 2587274087 + ... + 2587398153.

It is an arithmetic number, because the mean of its divisors is an integer number (11293812956790).

Almost surely, 2321003030400040 is an apocalyptic number.

It is an amenable number.

321003030400040 is an abundant number, since it is smaller than the sum of its proper divisors (401800998834520).

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

321003030400040 is a wasteful number, since it uses less digits than its factorization.

321003030400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172562 (or 172558 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 321003030400040 its reverse (40004030300123), we get a palindrome (361007060700163).

The spelling of 321003030400040 in words is "three hundred twenty-one trillion, three billion, thirty million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1373 2746 5492 6865 10984 13730 27460 47111 54920 94222 124067 188444 235555 248134 376888 471110 496268 620335 942220 992536 1240670 1884440 2481340 4962680 64683403 129366806 170343991 258733612 323417015 340687982 517467224 646834030 681375964 851719955 1293668060 1362751928 1703439910 2587336120 3406879820 5844920437 6813759640 11689840874 23379681748 29224602185 46759363496 58449204370 116898408740 233796817480 8025075760001 16050151520002 32100303040004 40125378800005 64200606080008 80250757600010 160501515200020 321003030400040