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1445159040 = 27351357899
BaseRepresentation
bin101011000100011…
…0110000010000000
310201201022200111220
41112020312002000
510424430042130
6355222435040
750545435443
oct12610660200
93651280456
101445159040
11681833416
12343b92a80
131a05305c0
14d9d0965a
1586d15410
hex56236080

1445159040 has 128 divisors (see below), whose sum is σ = 4960872000. Its totient is φ = 355725312.

The previous prime is 1445159029. The next prime is 1445159077. The reversal of 1445159040 is 409515441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1445158992 and 1445159010.

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, 3990 + ... + 53909.

Almost surely, 21445159040 is an apocalyptic number.

1445159040 is a gapful number since it is divisible by the number (10) 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 1445159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480436000).

1445159040 is an abundant number, since it is smaller than the sum of its proper divisors (3515712960).

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

1445159040 is a wasteful number, since it uses less digits than its factorization.

1445159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57934 (or 57922 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1445159040 is about 38015.2474672992. The cubic root of 1445159040 is about 1130.5901947311.

The spelling of 1445159040 in words is "one billion, four hundred forty-five million, one hundred fifty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 57899 115798 173697 231596 289495 347394 463192 578990 694788 752687 868485 926384 1157980 1389576 1505374 1736970 1852768 2258061 2315960 2779152 3010748 3473940 3705536 3763435 4516122 4631920 5558304 6021496 6947880 7411072 7526870 9032244 9263840 11116608 11290305 12042992 13895760 15053740 18064488 18527680 22233216 22580610 24085984 27791520 30107480 36128976 37055360 45161220 48171968 55583040 60214960 72257952 90322440 96343936 111166080 120429920 144515904 180644880 240859840 289031808 361289760 481719680 722579520 1445159040