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141348880 = 2451737532
BaseRepresentation
bin10000110110011…
…01000000010000
3100211222021012201
420123031000100
5242141131010
622005332544
73334305601
oct1033150020
9324867181
10141348880
1172873562
123b407154
13233902ba
1414ab5da8
15c62123a
hex86cd010

141348880 has 120 divisors (see below), whose sum is σ = 364242312. Its totient is φ = 50798592.

The previous prime is 141348817. The next prime is 141348913. The reversal of 141348880 is 88843141.

It can be written as a sum of positive squares in 12 ways, for example, as 2768896 + 138579984 = 1664^2 + 11772^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2666934 + ... + 2666986.

Almost surely, 2141348880 is an apocalyptic number.

141348880 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 141348880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182121156).

141348880 is an abundant number, since it is smaller than the sum of its proper divisors (222893432).

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

141348880 is a wasteful number, since it uses less digits than its factorization.

141348880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 141348880 is about 11889.0235091028. The cubic root of 141348880 is about 520.9117141700.

The spelling of 141348880 in words is "one hundred forty-one million, three hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 37 40 53 68 74 80 85 106 136 148 170 185 212 265 272 296 340 370 424 530 592 629 680 740 848 901 1060 1258 1360 1480 1802 1961 2120 2516 2809 2960 3145 3604 3922 4240 4505 5032 5618 6290 7208 7844 9010 9805 10064 11236 12580 14045 14416 15688 18020 19610 22472 25160 28090 31376 33337 36040 39220 44944 47753 50320 56180 66674 72080 78440 95506 103933 112360 133348 156880 166685 191012 207866 224720 238765 266696 333370 382024 415732 477530 519665 533392 666740 764048 831464 955060 1039330 1333480 1662928 1766861 1910120 2078660 2666960 3533722 3820240 4157320 7067444 8314640 8834305 14134888 17668610 28269776 35337220 70674440 141348880