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141433664880 = 24352416133989
BaseRepresentation
bin1000001110111000011…
…0100111010101110000
3111112001202101121020110
42003232012213111300
54304124004234010
6144550154141320
713134600213204
oct2035606472560
9445052347213
10141433664880
1154a88686852
12234b1a21840
131044c8c9901
146bb9bc4b04
153a2ba16120
hex20ee1a7570

141433664880 has 160 divisors (see below), whose sum is σ = 441092393280. Its totient is φ = 37488476160.

The previous prime is 141433664873. The next prime is 141433664887. The reversal of 141433664880 is 88466334141.

It is an interprime number because it is at equal distance from previous prime (141433664873) and next prime (141433664887).

It is a super-2 number, since 2×1414336648802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141433664887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35453926 + ... + 35457914.

It is an arithmetic number, because the mean of its divisors is an integer number (2756827458).

Almost surely, 2141433664880 is an apocalyptic number.

141433664880 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 141433664880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220546196640).

141433664880 is an abundant number, since it is smaller than the sum of its proper divisors (299658728400).

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

141433664880 is a wasteful number, since it uses less digits than its factorization.

141433664880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 141433664880 in words is "one hundred forty-one billion, four hundred thirty-three million, six hundred sixty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 241 482 613 723 964 1205 1226 1446 1839 1928 2410 2452 2892 3065 3615 3678 3856 3989 4820 4904 5784 6130 7230 7356 7978 9195 9640 9808 11568 11967 12260 14460 14712 15956 18390 19280 19945 23934 24520 28920 29424 31912 36780 39890 47868 49040 57840 59835 63824 73560 79780 95736 119670 147120 147733 159560 191472 239340 295466 319120 443199 478680 590932 738665 886398 957360 961349 1181864 1477330 1772796 1922698 2215995 2363728 2445257 2884047 2954660 3545592 3845396 4431990 4806745 4890514 5768094 5909320 7091184 7335771 7690792 8863980 9613490 9781028 11536188 11818640 12226285 14420235 14671542 15381584 17727960 19226980 19562056 23072376 24452570 28840470 29343084 35455920 36678855 38453960 39124112 46144752 48905140 57680940 58686168 73357710 76907920 97810280 115361880 117372336 146715420 195620560 230723760 293430840 586861680 589306937 1178613874 1767920811 2357227748 2946534685 3535841622 4714455496 5893069370 7071683244 8839604055 9428910992 11786138740 14143366488 17679208110 23572277480 28286732976 35358416220 47144554960 70716832440 141433664880