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141132404221020 = 223355379137455627
BaseRepresentation
bin100000000101101111110010…
…110100011110010001011100
3200111201010101220120021221000
4200011233302310132101130
5121444303130440033040
61220055155331310300
741504323354246152
oct4005576264362134
9614633356507830
10141132404221020
1140a72a09961093
12139b44a474b390
1360999619b6a44
1426bcbb823b3d2
15114b29ebc3130
hex805bf2d1e45c

141132404221020 has 384 divisors, whose sum is σ = 456333676646400. Its totient is φ = 36191605192704.

The previous prime is 141132404221013. The next prime is 141132404221051. The reversal of 141132404221020 is 20122404231141.

141132404221020 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 32 + 404 + 221 + 0 + 2 + 0 = 666.

It is a super-3 number, since 3×1411324042210203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 309526447 + ... + 309982073.

It is an arithmetic number, because the mean of its divisors is an integer number (1188368949600).

Almost surely, 2141132404221020 is an apocalyptic number.

141132404221020 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 141132404221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228166838323200).

141132404221020 is an abundant number, since it is smaller than the sum of its proper divisors (315201272425380).

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

141132404221020 is a wasteful number, since it uses less digits than its factorization.

141132404221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455914 (or 455906 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 141132404221020 its reverse (20122404231141), we get a palindrome (161254808452161).

The spelling of 141132404221020 in words is "one hundred forty-one trillion, one hundred thirty-two billion, four hundred four million, two hundred twenty-one thousand, twenty".