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1445345423984 = 247112791350023
BaseRepresentation
bin10101000010000101010…
…011001111001001110000
312010011200121102000011102
4111002011103033021300
5142140031412031414
63023552120303532
7206265002253230
oct25020523171160
95104617360142
101445345423984
11507a708a2500
121b414b311ba8
13a63ac25b3b7
144dd52ab3cc0
15278e4080ede
hex150854cf270

1445345423984 has 120 divisors (see below), whose sum is σ = 3562335329280. Its totient is φ = 555993060480.

The previous prime is 1445345423957. The next prime is 1445345423999. The reversal of 1445345423984 is 4893245435441.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395597 + ... + 1745619.

It is an arithmetic number, because the mean of its divisors is an integer number (29686127744).

Almost surely, 21445345423984 is an apocalyptic number.

1445345423984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445345423984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781167664640).

1445345423984 is an abundant number, since it is smaller than the sum of its proper divisors (2116989905296).

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

1445345423984 is a wasteful number, since it uses less digits than its factorization.

1445345423984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350139 (or 1350122 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 56.

The spelling of 1445345423984 in words is "one trillion, four hundred forty-five billion, three hundred forty-five million, four hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 79 88 112 121 154 158 176 242 308 316 484 553 616 632 847 869 968 1106 1232 1264 1694 1738 1936 2212 3388 3476 4424 6083 6776 6952 8848 9559 12166 13552 13904 19118 24332 38236 48664 66913 76472 97328 133826 152944 267652 535304 1070608 1350023 2700046 5400092 9450161 10800184 14850253 18900322 21600368 29700506 37800644 59401012 75601288 103951771 106651817 118802024 151202576 163352783 207903542 213303634 237604048 326705566 415807084 426607268 653411132 746562719 831614168 853214536 1143469481 1173169987 1306822264 1493125438 1663228336 1706429072 2286938962 2346339974 2613644528 2986250876 4573877924 4692679948 5972501752 8212189909 9147755848 9385359896 11945003504 12904869857 16424379818 18295511696 18770719792 25809739714 32848759636 51619479428 65697519272 90334088999 103238958856 131395038544 180668177998 206477917712 361336355996 722672711992 1445345423984