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141958880 = 2557219953
BaseRepresentation
bin10000111011000…
…01111011100000
3100220010020222022
420131201323200
5242320141010
622030401012
73342426200
oct1035417340
9326106868
10141958880
117314a898
123b660168
1323544b4b
1414bd4400
15c6e1d55
hex8761ee0

141958880 has 144 divisors (see below), whose sum is σ = 411097680. Its totient is φ = 46061568.

The previous prime is 141958879. The next prime is 141958961. The reversal of 141958880 is 88859141.

It is a super-3 number, since 3×1419588803 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 148484 + ... + 149436.

It is an arithmetic number, because the mean of its divisors is an integer number (2854845).

Almost surely, 2141958880 is an apocalyptic number.

141958880 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 141958880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205548840).

141958880 is an abundant number, since it is smaller than the sum of its proper divisors (269138800).

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

141958880 is a wasteful number, since it uses less digits than its factorization.

141958880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 44.

The square root of 141958880 is about 11914.6498060161. The cubic root of 141958880 is about 521.6599812463.

The spelling of 141958880 in words is "one hundred forty-one million, nine hundred fifty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 49 56 70 76 80 95 98 112 133 140 152 160 190 196 224 245 266 280 304 380 392 490 532 560 608 665 760 784 931 953 980 1064 1120 1330 1520 1568 1862 1906 1960 2128 2660 3040 3724 3812 3920 4256 4655 4765 5320 6671 7448 7624 7840 9310 9530 10640 13342 14896 15248 18107 18620 19060 21280 26684 29792 30496 33355 36214 37240 38120 46697 53368 66710 72428 74480 76240 90535 93394 106736 126749 133420 144856 148960 152480 181070 186788 213472 233485 253498 266840 289712 362140 373576 466970 506996 533680 579424 633745 724280 747152 887243 933940 1013992 1067360 1267490 1448560 1494304 1774486 1867880 2027984 2534980 2897120 3548972 3735760 4055968 4436215 5069960 7097944 7471520 8872430 10139920 14195888 17744860 20279840 28391776 35489720 70979440 141958880