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141443352155040 = 25351324142527587
BaseRepresentation
bin100000001010010001011000…
…110000101101001110100000
3200112210212000101221222210220
4200022101120300231032200
5122014401441122430130
61220454102352523040
741535642060133515
oct4012213060551640
9615725011858726
10141443352155040
1141082874964241
1213a44804550480
1360c0087a10400
1426cdc7537930c
1511543ed589410
hex80a458c2d3a0

141443352155040 has 288 divisors, whose sum is σ = 494222966548416. Its totient is φ = 33967633489920.

The previous prime is 141443352154991. The next prime is 141443352155057. The reversal of 141443352155040 is 40551253344141.

It is a super-2 number, since 2×1414433521550402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141443352154983 and 141443352155001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17937874 + ... + 24589713.

It is an arithmetic number, because the mean of its divisors is an integer number (1716051967182).

Almost surely, 2141443352155040 is an apocalyptic number.

141443352155040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141443352155040 is an abundant number, since it is smaller than the sum of its proper divisors (352779614393376).

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

141443352155040 is a wasteful number, since it uses less digits than its factorization.

141443352155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42527672 (or 42527651 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 141443352155040 in words is "one hundred forty-one trillion, four hundred forty-three billion, three hundred fifty-two million, one hundred fifty-five thousand, forty".