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141900270596100 = 2232523970732
BaseRepresentation
bin100000010000111010111011…
…001110001111000000000100
3200121102112101211121202101100
4200100322323032033000010
5122044343223233033400
61221444030120500100
741613645662611422
oct4020727316170004
9617375354552340
10141900270596100
1141239626467875
1213ab928161a630
1361241a4539573
14270801ca38112
151161241dd1100
hex810ebb38f004

141900270596100 has 81 divisors (see below), whose sum is σ = 444779634980863. Its totient is φ = 37839976861440.

The previous prime is 141900270596087. The next prime is 141900270596107. The reversal of 141900270596100 is 1695072009141.

The square root of 141900270596100 is 11912190.

It is a perfect power (a square), and thus also a powerful number.

141900270596100 is a `hidden beast` number, since 1 + 4 + 1 + 9 + 0 + 0 + 27 + 0 + 5 + 9 + 610 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7654307956164 + 134245962639936 = 2766642^2 + 11586456^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (141900270596107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 357167164 + ... + 357564236.

Almost surely, 2141900270596100 is an apocalyptic number.

141900270596100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141900270596100 is the 11912190-th square number.

It is an amenable number.

141900270596100 is an abundant number, since it is smaller than the sum of its proper divisors (302879364384763).

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

141900270596100 is an frugal number, since it uses more digits than its factorization.

141900270596100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794166 (or 397083 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 141900270596100 in words is "one hundred forty-one trillion, nine hundred billion, two hundred seventy million, five hundred ninety-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 397073 794146 1191219 1588292 1985365 2382438 3573657 3970730 4764876 5956095 7147314 7941460 9926825 11912190 14294628 17868285 19853650 23824380 29780475 35736570 39707300 59560950 71473140 89341425 119121900 178682850 357365700 157666967329 315333934658 473000901987 630667869316 788334836645 946001803974 1419002705961 1576669673290 1892003607948 2365004509935 2838005411922 3153339346580 3941674183225 4730009019870 5676010823844 7095013529805 7883348366450 9460018039740 11825022549675 14190027059610 15766696732900 23650045099350 28380054119220 35475067649025 47300090198700 70950135298050 141900270596100