Search a number
-
+
145402233420 = 223517913538383
BaseRepresentation
bin1000011101101010100…
…1100000001001001100
3111220022022221202211110
42013122221200021030
54340240432432140
6150444042252020
713335126406653
oct2073251401114
9456268852743
10145402233420
1156734852064
122421aab7010
1310932b64912
147074cb619a
153bb012d380
hex21daa6024c

145402233420 has 48 divisors (see below), whose sum is σ = 409400732160. Its totient is φ = 38557311936.

The previous prime is 145402233419. The next prime is 145402233467. The reversal of 145402233420 is 24332204541.

It is a super-3 number, since 3×1454022334203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6758452 + ... + 6779931.

It is an arithmetic number, because the mean of its divisors is an integer number (8529181920).

Almost surely, 2145402233420 is an apocalyptic number.

145402233420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145402233420 is an abundant number, since it is smaller than the sum of its proper divisors (263998498740).

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

145402233420 is a wasteful number, since it uses less digits than its factorization.

145402233420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13538574 (or 13538572 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 145402233420 its reverse (24332204541), we get a palindrome (169734437961).

The spelling of 145402233420 in words is "one hundred forty-five billion, four hundred two million, two hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 179 358 537 716 895 1074 1790 2148 2685 3580 5370 10740 13538383 27076766 40615149 54153532 67691915 81230298 135383830 162460596 203075745 270767660 406151490 812302980 2423370557 4846741114 7270111671 9693482228 12116852785 14540223342 24233705570 29080446684 36350558355 48467411140 72701116710 145402233420