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141501434500 = 22534163110939
BaseRepresentation
bin1000001111001000100…
…1001000101010000100
3111112020110220122200101
42003302021020222010
54304243331401000
6145001014453444
713136352230236
oct2036211105204
9445213818611
10141501434500
11550129640a8
1223510664284
131046096718a
146bc4bc6256
153a32950e6a
hex20f2248a84

141501434500 has 96 divisors (see below), whose sum is σ = 317107365120. Its totient is φ = 55127520000.

The previous prime is 141501434497. The next prime is 141501434507. The reversal of 141501434500 is 5434105141.

It is not an unprimeable number, because it can be changed into a prime (141501434507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12930031 + ... + 12940969.

It is an arithmetic number, because the mean of its divisors is an integer number (3303201720).

Almost surely, 2141501434500 is an apocalyptic number.

141501434500 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 141501434500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158553682560).

141501434500 is an abundant number, since it is smaller than the sum of its proper divisors (175605930620).

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

141501434500 is a wasteful number, since it uses less digits than its factorization.

141501434500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11630 (or 11618 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 141501434500 its reverse (5434105141), we get a palindrome (146935539641).

The spelling of 141501434500 in words is "one hundred forty-one billion, five hundred one million, four hundred thirty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 631 820 1025 1262 2050 2524 3155 4100 5125 6310 10250 10939 12620 15775 20500 21878 25871 31550 43756 51742 54695 63100 78875 103484 109390 129355 157750 218780 258710 273475 315500 448499 517420 546950 646775 896998 1093900 1293550 1367375 1793996 2242495 2587100 2734750 3233875 4484990 5469500 6467750 6902509 8969980 11212475 12935500 13805018 22424950 27610036 34512545 44849900 56062375 69025090 112124750 138050180 172562725 224249500 283002869 345125450 566005738 690250900 862813625 1132011476 1415014345 1725627250 2830028690 3451254500 5660057380 7075071725 14150143450 28300286900 35375358625 70750717250 141501434500