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141398784 = 28352273
BaseRepresentation
bin10000110110110…
…01001100000000
3100212001210200000
420123121030000
5242144230114
622010400000
73334604232
oct1033311400
9325053600
10141398784
11728a7aaa
123b430000
13233a9c27
1414aca252
15c630e09
hex86d9300

141398784 has 108 divisors (see below), whose sum is σ = 422973096. Its totient is φ = 47112192.

The previous prime is 141398783. The next prime is 141398813. The reversal of 141398784 is 487893141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×1413987842 = 39987232233357312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (193536) is a multiple of the sum of its prime factors (2304).

It is not an unprimeable number, because it can be changed into a prime (141398783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61072 + ... + 63344.

Almost surely, 2141398784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141398784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211486548).

141398784 is an abundant number, since it is smaller than the sum of its proper divisors (281574312).

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

141398784 is an frugal number, since it uses more digits than its factorization.

141398784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2278 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 141398784 is about 11891.1220664830. The cubic root of 141398784 is about 520.9730105394.

The spelling of 141398784 in words is "one hundred forty-one million, three hundred ninety-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2273 2304 2592 3456 3888 4546 5184 6819 6912 7776 9092 10368 13638 15552 18184 20457 20736 27276 31104 36368 40914 54552 61371 62208 72736 81828 109104 122742 145472 163656 184113 218208 245484 290944 327312 368226 436416 490968 552339 581888 654624 736452 872832 981936 1104678 1309248 1472904 1745664 1963872 2209356 2618496 2945808 3927744 4418712 5236992 5891616 7855488 8837424 11783232 15710976 17674848 23566464 35349696 47132928 70699392 141398784