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141953719440 = 243513314135797
BaseRepresentation
bin1000010000110100011…
…0011101110010010000
3111120101222222002222110
42010031012131302100
54311210123010230
6145113532505320
713153513464231
oct2041506356220
9446358862873
10141953719440
11552251a0505
122361801b240
1310503583bc0
146c28cbb088
153a5c4e14b0
hex210d19dc90

141953719440 has 320 divisors, whose sum is σ = 501139924992. Its totient is φ = 32989593600.

The previous prime is 141953719421. The next prime is 141953719507. The reversal of 141953719440 is 44917359141.

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

It is a self number, because there is not a number n which added to its sum of digits gives 141953719440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3947622 + ... + 3983418.

Almost surely, 2141953719440 is an apocalyptic number.

141953719440 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 141953719440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250569962496).

141953719440 is an abundant number, since it is smaller than the sum of its proper divisors (359186205552).

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

141953719440 is a wasteful number, since it uses less digits than its factorization.

141953719440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35898 (or 35892 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 141953719440 in words is "one hundred forty-one billion, nine hundred fifty-three million, seven hundred nineteen thousand, four hundred forty".