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1445099618816 = 29731125910331
BaseRepresentation
bin10101000001110110101…
…001100100001000000000
312010011001110212210212022
4111001312221210020000
5142134031000300231
63023511500021012
7206255626042130
oct25016651441000
95104043783768
101445099618816
11507955074437
121b40a0b31768
13a6370357159
144dd2c1aaac0
15278cc6c9c7b
hex15076a64200

1445099618816 has 160 divisors (see below), whose sum is σ = 3409341788160. Its totient is φ = 598816051200.

The previous prime is 1445099618803. The next prime is 1445099618819. The reversal of 1445099618816 is 6188169905441.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is not an unprimeable number, because it can be changed into a prime (1445099618819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139874771 + ... + 139885101.

It is an arithmetic number, because the mean of its divisors is an integer number (21308386176).

Almost surely, 21445099618816 is an apocalyptic number.

1445099618816 is a gapful number since it is divisible by the number (16) 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 1445099618816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704670894080).

1445099618816 is an abundant number, since it is smaller than the sum of its proper divisors (1964242169344).

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

1445099618816 is a wasteful number, since it uses less digits than its factorization.

1445099618816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11646 (or 11630 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 62.

The spelling of 1445099618816 in words is "one trillion, four hundred forty-five billion, ninety-nine million, six hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1259 1736 1792 1984 2518 3472 3584 3968 5036 6944 7936 8813 10072 10331 13888 15872 17626 20144 20662 27776 35252 39029 40288 41324 55552 70504 72317 78058 80576 82648 111104 141008 144634 156116 161152 165296 273203 282016 289268 312232 320261 322304 330592 546406 564032 578536 624464 640522 644608 661184 1092812 1128064 1157072 1248928 1281044 1322368 2185624 2241827 2256128 2314144 2497856 2562088 2644736 4371248 4483654 4512256 4628288 4995712 5124176 5289472 8742496 8967308 9256576 9991424 10248352 13006729 17484992 17934616 18513152 19982848 20496704 26013458 34969984 35869232 37026304 40993408 52026916 69939968 71738464 81986816 91047103 104053832 139879936 143476928 163973632 182094206 208107664 286953856 364188412 403208599 416215328 573907712 728376824 806417198 832430656 1147815424 1456753648 1612834396 1664861312 2822460193 2913507296 3225668792 3329722624 5644920386 5827014592 6451337584 6659445248 11289840772 11654029184 12902675168 22579681544 23308058368 25805350336 45159363088 46616116736 51610700672 90318726176 103221401344 180637452352 206442802688 361274904704 722549809408 1445099618816