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141998416 = 24717241107
BaseRepresentation
bin10000111011010…
…11100101010000
3100220012021012121
420131223211100
5242322422131
622031304024
73342652360
oct1035534520
9326167177
10141998416
117317756a
123b67b014
1323559b41
1414c049a0
15c6ed911
hex876b950

141998416 has 120 divisors (see below), whose sum is σ = 345352896. Its totient is φ = 55357440.

The previous prime is 141998407. The next prime is 141998429. The reversal of 141998416 is 614899141.

141998416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1327035 + ... + 1327141.

Almost surely, 2141998416 is an apocalyptic number.

141998416 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 141998416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172676448).

141998416 is an abundant number, since it is smaller than the sum of its proper divisors (203354480).

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

141998416 is a wasteful number, since it uses less digits than its factorization.

141998416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its digits is 62208, while the sum is 43.

The square root of 141998416 is about 11916.3088244641. The cubic root of 141998416 is about 521.7084047397.

The spelling of 141998416 in words is "one hundred forty-one million, nine hundred ninety-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 34 41 56 68 82 107 112 119 136 164 214 238 272 287 289 328 428 476 574 578 656 697 749 856 952 1148 1156 1394 1498 1712 1819 1904 2023 2296 2312 2788 2996 3638 4046 4387 4592 4624 4879 5576 5992 7276 8092 8774 9758 11152 11849 11984 12733 14552 16184 17548 19516 23698 25466 29104 30709 30923 32368 35096 39032 47396 50932 61418 61846 70192 74579 78064 82943 94792 101864 122836 123692 149158 165886 189584 203728 216461 245672 247384 298316 331772 432922 491344 494768 522053 596632 663544 865844 1044106 1193264 1267843 1327088 1731688 2088212 2535686 3463376 4176424 5071372 8352848 8874901 10142744 17749802 20285488 35499604 70999208 141998416