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141998280 = 233517471481
BaseRepresentation
bin10000111011010…
…11100011001000
3100220012021000120
420131223203020
5242322421110
622031303240
73342652104
oct1035534310
9326167016
10141998280
1173177456
123b67ab20
1323559a68
1414c04904
15c6ed870
hex876b8c8

141998280 has 128 divisors (see below), whose sum is σ = 460961280. Its totient is φ = 34856960.

The previous prime is 141998279. The next prime is 141998281. The reversal of 141998280 is 82899141.

It is an interprime number because it is at equal distance from previous prime (141998279) and next prime (141998281).

It is not an unprimeable number, because it can be changed into a prime (141998281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 95140 + ... + 96620.

It is an arithmetic number, because the mean of its divisors is an integer number (3601260).

Almost surely, 2141998280 is an apocalyptic number.

141998280 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 141998280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230480640).

141998280 is an abundant number, since it is smaller than the sum of its proper divisors (318963000).

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

141998280 is a wasteful number, since it uses less digits than its factorization.

141998280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 141998280 is about 11916.3031179976. The cubic root of 141998280 is about 521.7082381830.

It can be divided in two parts, 1419 and 98280, that added together give a palindrome (99699).

The spelling of 141998280 in words is "one hundred forty-one million, nine hundred ninety-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 47 51 60 68 85 94 102 120 136 141 170 188 204 235 255 282 340 376 408 470 510 564 680 705 799 940 1020 1128 1410 1481 1598 1880 2040 2397 2820 2962 3196 3995 4443 4794 5640 5924 6392 7405 7990 8886 9588 11848 11985 14810 15980 17772 19176 22215 23970 25177 29620 31960 35544 44430 47940 50354 59240 69607 75531 88860 95880 100708 125885 139214 151062 177720 201416 208821 251770 278428 302124 348035 377655 417642 503540 556856 604248 696070 755310 835284 1007080 1044105 1183319 1392140 1510620 1670568 2088210 2366638 2784280 3021240 3549957 4176420 4733276 5916595 7099914 8352840 9466552 11833190 14199828 17749785 23666380 28399656 35499570 47332760 70999140 141998280