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141023714416 = 24132926718753
BaseRepresentation
bin1000001101010110101…
…0110001110001110000
3111111000011222221220221
42003111222301301300
54302304032330131
6144441351342424
713121461536304
oct2032552616160
9444004887827
10141023714416
1154898234a12
12233b8681a14
13103b59b3180
146b7b58dd04
153a05a39411
hex20d5ab1c70

141023714416 has 80 divisors (see below), whose sum is σ = 304546757760. Its totient is φ = 62812753920.

The previous prime is 141023714407. The next prime is 141023714437. The reversal of 141023714416 is 614417320141.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 16107096 + ... + 16115848.

It is an arithmetic number, because the mean of its divisors is an integer number (3806834472).

Almost surely, 2141023714416 is an apocalyptic number.

141023714416 is a gapful number since it is divisible by the number (16) 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 141023714416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152273378880).

141023714416 is an abundant number, since it is smaller than the sum of its proper divisors (163523043344).

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

141023714416 is a wasteful number, since it uses less digits than its factorization.

141023714416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11474 (or 11468 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 141023714416 in words is "one hundred forty-one billion, twenty-three million, seven hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 2671 3016 5342 6032 8753 10684 17506 21368 34723 35012 42736 69446 70024 77459 113789 138892 140048 154918 227578 253837 277784 309836 455156 507674 555568 619672 910312 1006967 1015348 1239344 1820624 2013934 2030696 3299881 4027868 4061392 6599762 8055736 13199524 16111472 23379263 26399048 46758526 52798096 93517052 187034104 303930419 374068208 607860838 677998627 1215721676 1355997254 2431443352 2711994508 4862886704 5423989016 8813982151 10847978032 17627964302 35255928604 70511857208 141023714416