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145385777280 = 2735191396449
BaseRepresentation
bin1000011101100110101…
…0101110100010000000
3111220021011222201020210
42013121222232202000
54340222224333110
6150442253434120
713334536500612
oct2073152564200
9456234881223
10145385777280
1156726532347
122421549b940
131092c622563
147072a30db2
153bad97c520
hex21d9aae880

145385777280 has 128 divisors (see below), whose sum is σ = 465844608000. Its totient is φ = 38566461440.

The previous prime is 145385777279. The next prime is 145385777281. The reversal of 145385777280 is 82777583541.

It is an interprime number because it is at equal distance from previous prime (145385777279) and next prime (145385777281).

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

It is a super-2 number, since 2×1453857772802 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145385777280.

It is not an unprimeable number, because it can be changed into a prime (145385777281) 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, 168496 + ... + 564944.

It is an arithmetic number, because the mean of its divisors is an integer number (3639411000).

Almost surely, 2145385777280 is an apocalyptic number.

145385777280 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 145385777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232922304000).

145385777280 is an abundant number, since it is smaller than the sum of its proper divisors (320458830720).

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

145385777280 is a wasteful number, since it uses less digits than its factorization.

145385777280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396662 (or 396650 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 57.

The spelling of 145385777280 in words is "one hundred forty-five billion, three hundred eighty-five million, seven hundred seventy-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 191 192 240 320 382 384 480 573 640 764 955 960 1146 1528 1910 1920 2292 2865 3056 3820 4584 5730 6112 7640 9168 11460 12224 15280 18336 22920 24448 30560 36672 45840 61120 73344 91680 122240 183360 366720 396449 792898 1189347 1585796 1982245 2378694 3171592 3964490 4757388 5946735 6343184 7928980 9514776 11893470 12686368 15857960 19029552 23786940 25372736 31715920 38059104 47573880 50745472 63431840 75721759 76118208 95147760 126863680 151443518 152236416 190295520 227165277 253727360 302887036 378608795 380591040 454330554 605774072 757217590 761182080 908661108 1135826385 1211548144 1514435180 1817322216 2271652770 2423096288 3028870360 3634644432 4543305540 4846192576 6057740720 7269288864 9086611080 9692385152 12115481440 14538577728 18173222160 24230962880 29077155456 36346444320 48461925760 72692888640 145385777280