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145300254330 = 235711613102611
BaseRepresentation
bin1000011101010010010…
…0011110111001111010
3111220001020001200211010
42013110210132321322
54340033331114310
6150430000414350
713332450532560
oct2072444367172
9456036050733
10145300254330
1156692229720
12241b09173b6
13109179aa36a
14706552ba30
153ba61d7320
hex21d491ee7a

145300254330 has 128 divisors (see below), whose sum is σ = 435482044416. Its totient is φ = 30142713600.

The previous prime is 145300254317. The next prime is 145300254347. The reversal of 145300254330 is 33452003541.

It is a super-2 number, since 2×1453002543302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1364725 + ... + 1467335.

It is an arithmetic number, because the mean of its divisors is an integer number (3402203472).

Almost surely, 2145300254330 is an apocalyptic number.

145300254330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145300254330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217741022208).

145300254330 is an abundant number, since it is smaller than the sum of its proper divisors (290181790086).

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

145300254330 is a wasteful number, since it uses less digits than its factorization.

145300254330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103252.

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 145300254330 its reverse (33452003541), we get a palindrome (178752257871).

The spelling of 145300254330 in words is "one hundred forty-five billion, three hundred million, two hundred fifty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 613 770 1155 1226 1839 2310 3065 3678 4291 6130 6743 8582 9195 12873 13486 18390 20229 21455 25746 33715 40458 42910 47201 64365 67430 94402 101145 102611 128730 141603 202290 205222 236005 283206 307833 472010 513055 615666 708015 718277 1026110 1128721 1416030 1436554 1539165 2154831 2257442 3078330 3386163 3591385 4309662 5643605 6772326 7182770 7901047 10774155 11287210 15802094 16930815 21548310 23703141 33861630 39505235 47406282 62900543 79010470 118515705 125801086 188701629 237031410 314502715 377403258 440303801 629005430 691905973 880607602 943508145 1320911403 1383811946 1887016290 2075717919 2201519005 2641822806 3459529865 4151435838 4403038010 4843341811 6604557015 6919059730 9686683622 10378589595 13209114030 14530025433 20757179190 24216709055 29060050866 48433418110 72650127165 145300254330