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141503150300020 = 225233125429242093
BaseRepresentation
bin100000001011001001000101…
…000000100001101101110100
3200120000120100211201111112021
4200023021011000201231310
5122021341422434100040
61220541352210402524
741543156656026565
oct4013110500415564
9616016324644467
10141503150300020
11410a6170401673
1213a54312890444
1360c58c76b3b52
1426d2b090c616c
151155c4d21824a
hex80b245021b74

141503150300020 has 48 divisors (see below), whose sum is σ = 298435577927760. Its totient is φ = 56357654137856.

The previous prime is 141503150299997. The next prime is 141503150300041. The reversal of 141503150300020 is 20003051305141.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 36682452012816 + 104820698287204 = 6056604^2 + 10238198^2 .

It is a super-4 number, since 4×1415031503000204 (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584378094 + ... + 584620186.

It is an arithmetic number, because the mean of its divisors is an integer number (6217407873495).

Almost surely, 2141503150300020 is an apocalyptic number.

141503150300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141503150300020 is an abundant number, since it is smaller than the sum of its proper divisors (156932427627740).

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

141503150300020 is a wasteful number, since it uses less digits than its factorization.

141503150300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367764 (or 367762 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 141503150300020 in words is "one hundred forty-one trillion, five hundred three billion, one hundred fifty million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 233 466 932 1165 2330 4660 125429 242093 250858 484186 501716 627145 968372 1210465 1254290 2420930 2508580 4841860 29224957 56407669 58449914 112815338 116899828 146124785 225630676 282038345 292249570 564076690 584499140 1128153380 30365482897 60730965794 121461931588 151827414485 303654828970 607309657940 7075157515001 14150315030002 28300630060004 35375787575005 70751575150010 141503150300020