Search a number
-
+
141796744320000 = 21035471121723223
BaseRepresentation
bin100000001111011010100000…
…100100110101010000000000
3200121001122011220200000201010
4200033122200210311100000
5122041144213021220000
61221324305225240520
741603322340024530
oct4017324044652000
9617048156600633
10141796744320000
11411a9730598300
1213aa11aa933140
1361174b62c0523
142702ddb5394c0
15115d6d32e8d50
hex80f6a0935400

141796744320000 has 5280 divisors, whose sum is σ = 658418857721856. Its totient is φ = 26406420480000.

The previous prime is 141796744319897. The next prime is 141796744320089. The reversal of 141796744320000 is 23447697141.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 635859839889 + ... + 635859840111.

Almost surely, 2141796744320000 is an apocalyptic number.

141796744320000 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 141796744320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329209428860928).

141796744320000 is an abundant number, since it is smaller than the sum of its proper divisors (516622113401856).

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

141796744320000 is a wasteful number, since it uses less digits than its factorization.

141796744320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 141796744320000 in words is "one hundred forty-one trillion, seven hundred ninety-six billion, seven hundred forty-four million, three hundred twenty thousand".