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141425224023312 = 24323178794020977
BaseRepresentation
bin100000001010000000100000…
…001111010111110100010000
3200112202010020000200111002200
4200022000200033113310100
5122014102324322221222
61220441503452043200
741534430614431515
oct4012004017276420
9615663200614080
10141425224023312
1141076112016599
1213a411a5463500
1360bb459099848
1426cd03591730c
151153bdbd20eac
hex80a0203d7d10

141425224023312 has 120 divisors (see below), whose sum is σ = 408613714429440. Its totient is φ = 45615238456320.

The previous prime is 141425224023287. The next prime is 141425224023313. The reversal of 141425224023312 is 213320422524141.

141425224023312 is a `hidden beast` number, since 1 + 4 + 1 + 42 + 522 + 40 + 23 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (141425224023313) 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, 33161368 + ... + 37182344.

It is an arithmetic number, because the mean of its divisors is an integer number (3405114286912).

Almost surely, 2141425224023312 is an apocalyptic number.

141425224023312 is a gapful number since it is divisible by the number (12) 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 141425224023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204306857214720).

141425224023312 is an abundant number, since it is smaller than the sum of its proper divisors (267188490406128).

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

141425224023312 is a wasteful number, since it uses less digits than its factorization.

141425224023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028901 (or 4028892 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 141425224023312 its reverse (213320422524141), we get a palindrome (354745646547453).

The spelling of 141425224023312 in words is "one hundred forty-one trillion, four hundred twenty-five billion, two hundred twenty-four million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 7879 15758 23637 31516 47274 63032 70911 94548 126064 141822 189096 244249 283644 378192 488498 567288 732747 976996 1134576 1465494 1953992 2198241 2930988 3907984 4020977 4396482 5861976 8041954 8792964 11723952 12062931 16083908 17585928 24125862 32167816 35171856 36188793 48251724 64335632 72377586 96503448 124650287 144755172 193006896 249300574 289510344 373950861 498601148 579020688 747901722 997202296 1121852583 1495803444 1994404592 2243705166 2991606888 4487410332 5983213776 8974820664 17949641328 31681277783 63362555566 95043833349 126725111132 190087666698 253450222264 285131500047 380175333396 506900444528 570263000094 760350666792 982119611273 1140526000188 1520701333584 1964239222546 2281052000376 2946358833819 3928478445092 4562104000752 5892717667638 7856956890184 8839076501457 11785435335276 15713913780368 17678153002914 23570870670552 35356306005828 47141741341104 70712612011656 141425224023312