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145287275380 = 225132238772131
BaseRepresentation
bin1000011101001111001…
…0111110001101110100
3111220000022122022001021
42013103302332031310
54340022020303010
6150424414310524
713332232315222
oct2072362761564
9456008568037
10145287275380
1156685974415
12241a84b8444
13109150b4900
14706390db12
153ba4ec18da
hex21d3cbe374

145287275380 has 144 divisors (see below), whose sum is σ = 345297423744. Its totient is φ = 51229601280.

The previous prime is 145287275369. The next prime is 145287275381. The reversal of 145287275380 is 83572782541.

It is a happy number.

It is a super-2 number, since 2×1452872753802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145287275381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68176915 + ... + 68179045.

It is an arithmetic number, because the mean of its divisors is an integer number (2397898776).

Almost surely, 2145287275380 is an apocalyptic number.

145287275380 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 145287275380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172648711872).

145287275380 is an abundant number, since it is smaller than the sum of its proper divisors (200010148364).

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

145287275380 is a wasteful number, since it uses less digits than its factorization.

145287275380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 52.

The spelling of 145287275380 in words is "one hundred forty-five billion, two hundred eighty-seven million, two hundred seventy-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 169 230 260 299 338 460 598 676 845 877 1196 1495 1690 1754 2131 2990 3380 3508 3887 4262 4385 5980 7774 8524 8770 10655 11401 15548 17540 19435 20171 21310 22802 27703 38870 40342 42620 45604 49013 55406 57005 77740 80684 98026 100855 110812 114010 138515 148213 196052 201710 228020 245065 262223 277030 296426 360139 403420 490130 524446 554060 592852 637169 720278 741065 980260 1048892 1274338 1311115 1440556 1482130 1800695 1868887 2548676 2622230 2964260 3185845 3408899 3601390 3737774 5244460 6371690 6817798 7202780 7475548 8283197 9344435 12743380 13635596 16566394 17044495 18688870 24295531 33132788 34088990 37377740 41415985 42984401 48591062 68177980 82831970 85968802 97182124 121477655 165663940 171937604 214922005 242955310 315841903 429844010 485910620 558797213 631683806 859688020 1117594426 1263367612 1579209515 2235188852 2793986065 3158419030 5587972130 6316838060 7264363769 11175944260 14528727538 29057455076 36321818845 72643637690 145287275380