Search a number
-
+
145262837830220 = 2251119371149181737
BaseRepresentation
bin100001000001110110100011…
…110110010001001001001100
3201001022222202221002212110222
4201001312203312101021030
5123014441242441031340
61232540454302250512
742411615352531355
oct4101664366211114
9631288687085428
10145262837830220
1142315694a628a0
1214360ab2586a38
1363092c4465296
1427c2a8a478d2c
1511bd946ae38b5
hex841da3d9124c

145262837830220 has 192 divisors, whose sum is σ = 359802149091840. Its totient is φ = 48685361817600.

The previous prime is 145262837830207. The next prime is 145262837830223. The reversal of 145262837830220 is 22038738262541.

It is a super-2 number, since 2×1452628378302202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145262837830223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1777157192 + ... + 1777238928.

It is an arithmetic number, because the mean of its divisors is an integer number (1873969526520).

Almost surely, 2145262837830220 is an apocalyptic number.

145262837830220 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 145262837830220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179901074545920).

145262837830220 is an abundant number, since it is smaller than the sum of its proper divisors (214539311261620).

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

145262837830220 is a wasteful number, since it uses less digits than its factorization.

145262837830220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93304 (or 93302 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 53.

The spelling of 145262837830220 in words is "one hundred forty-five trillion, two hundred sixty-two billion, eight hundred thirty-seven million, eight hundred thirty thousand, two hundred twenty".