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141419620440 = 23345731712833
BaseRepresentation
bin1000001110110101000…
…1000010100001011000
3111112000202222001220000
42003231101002201120
54304111410323230
6144544533133000
713134336640260
oct2035521024130
9445022861800
10141419620440
1154a80763a7a
12234a918a160
1310449a201a7
146bb7daa7a0
153a2a68eb60
hex20ed442858

141419620440 has 640 divisors, whose sum is σ = 568853176320. Its totient is φ = 30830284800.

The previous prime is 141419620429. The next prime is 141419620457. The reversal of 141419620440 is 44026914141.

It is a happy number.

141419620440 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 196 + 20 + 440 = 666.

It is a super-3 number, since 3×1414196204403 (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 141419620395 and 141419620404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49917264 + ... + 49920096.

It is an arithmetic number, because the mean of its divisors is an integer number (888833088).

Almost surely, 2141419620440 is an apocalyptic number.

141419620440 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 141419620440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284426588160).

141419620440 is an abundant number, since it is smaller than the sum of its proper divisors (427433555880).

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

141419620440 is a wasteful number, since it uses less digits than its factorization.

141419620440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 141419620440 in words is "one hundred forty-one billion, four hundred nineteen million, six hundred twenty thousand, four hundred forty".