Search a number
-
+
141401466000 = 2432537855637
BaseRepresentation
bin1000001110110000101…
…1110010010010010000
3111111222111210201200100
42003230023302102100
54304042233403000
6144543044052400
713134026426004
oct2035413622220
9444874721610
10141401466000
1154a71494303
12234a3094100
1310446034b12
146bb5802704
153a28ca5a00
hex20ec2f2490

141401466000 has 120 divisors (see below), whose sum is σ = 493868249784. Its totient is φ = 37707052800.

The previous prime is 141401465971. The next prime is 141401466007. The reversal of 141401466000 is 664104141.

141401466000 is a `hidden beast` number, since 1 + 4 + 1 + 40 + 14 + 6 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32881294224 + 108520171776 = 181332^2 + 329424^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (141401466007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3909819 + ... + 3945818.

Almost surely, 2141401466000 is an apocalyptic number.

141401466000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141401466000 is an abundant number, since it is smaller than the sum of its proper divisors (352466783784).

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

141401466000 is a wasteful number, since it uses less digits than its factorization.

141401466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855666 (or 7855647 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 141401466000 in words is "one hundred forty-one billion, four hundred one million, four hundred sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 7855637 15711274 23566911 31422548 39278185 47133822 62845096 70700733 78556370 94267644 117834555 125690192 141401466 157112740 188535288 196390925 235669110 282802932 314225480 353503665 377070576 392781850 471338220 565605864 589172775 628450960 707007330 785563700 942676440 981954625 1131211728 1178345550 1414014660 1571127400 1767518325 1885352880 1963909250 2356691100 2828029320 2945863875 3142254800 3535036650 3927818500 4713382200 5656058640 5891727750 7070073300 7855637000 8837591625 9426764400 11783455500 14140146600 15711274000 17675183250 23566911000 28280293200 35350366500 47133822000 70700733000 141401466000