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145345223364 = 223116719783423
BaseRepresentation
bin1000011101011101000…
…0000001101011000100
3111220011100200100201220
42013113100001223010
54340131334121424
6150434244320340
713333535004615
oct2072720015304
9456140610656
10145345223364
1156705653610
12242039a30b0
13109240c3863
14706b4b5c0c
153baa11b579
hex21d7401ac4

145345223364 has 96 divisors (see below), whose sum is σ = 377402167296. Its totient is φ = 43165879680.

The previous prime is 145345223363. The next prime is 145345223449. The reversal of 145345223364 is 463322543541.

It is a super-2 number, since 2×1453452233642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145345223363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1700557 + ... + 1783979.

It is an arithmetic number, because the mean of its divisors is an integer number (3931272576).

Almost surely, 2145345223364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145345223364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188701083648).

145345223364 is an abundant number, since it is smaller than the sum of its proper divisors (232056943932).

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

145345223364 is a wasteful number, since it uses less digits than its factorization.

145345223364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83705 (or 83703 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 42.

The spelling of 145345223364 in words is "one hundred forty-five billion, three hundred forty-five million, two hundred twenty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 197 201 268 394 402 591 737 788 804 1182 1474 2167 2211 2364 2948 4334 4422 6501 8668 8844 13002 13199 26004 26398 39597 52796 79194 83423 145189 158388 166846 250269 290378 333692 435567 500538 580756 871134 917653 1001076 1742268 1835306 2752959 3670612 5505918 5589341 11011836 11178682 16434331 16768023 22357364 32868662 33536046 49302993 61482751 65737324 67072092 98605986 122965502 180777641 184448253 197211972 245931004 361555282 368896506 542332923 723110564 737793012 1084665846 1101100177 2169331692 2202200354 3303300531 4404400708 6606601062 12112101947 13213202124 24224203894 36336305841 48448407788 72672611682 145345223364