Search a number
-
+
141604817544320 = 275137110714711523
BaseRepresentation
bin100000001100100111110000…
…110110010010010010000000
3200120101021210012120121222212
4200030213300312102102000
5122030023131242404240
61221100204412321252
741553416246243624
oct4014476066222200
9616337705517885
10141604817544320
11411352a1968019
1213a6bb66a73228
13610237a741780
1426d79d1743184
1511586ed9d6165
hex80c9f0d92480

141604817544320 has 512 divisors, whose sum is σ = 373653018869760. Its totient is φ = 50998464921600.

The previous prime is 141604817544319. The next prime is 141604817544401. The reversal of 141604817544320 is 23445718406141.

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 63 ways as a sum of consecutive naturals, for example, 92977555079 + ... + 92977556601.

It is an arithmetic number, because the mean of its divisors is an integer number (729791052480).

Almost surely, 2141604817544320 is an apocalyptic number.

141604817544320 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 141604817544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186826509434880).

141604817544320 is an abundant number, since it is smaller than the sum of its proper divisors (232048201325440).

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

141604817544320 is a wasteful number, since it uses less digits than its factorization.

141604817544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The spelling of 141604817544320 in words is "one hundred forty-one trillion, six hundred four billion, eight hundred seventeen million, five hundred forty-four thousand, three hundred twenty".