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141007507410 = 235711136144851
BaseRepresentation
bin1000001101010010110…
…0111100111111010010
3111110222001111120002110
42003110230330333102
54302240410214120
6144440012130150
713121204015460
oct2032454747722
9443861446073
10141007507410
115488a0753a0
12233b3166956
13103b252a323
146b79371830
153a043d72e0
hex20d4b3cfd2

141007507410 has 128 divisors (see below), whose sum is σ = 422243186688. Its totient is φ = 29278080000.

The previous prime is 141007507409. The next prime is 141007507441. The reversal of 141007507410 is 14705700141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3121485 + ... + 3166335.

It is an arithmetic number, because the mean of its divisors is an integer number (3298774896).

Almost surely, 2141007507410 is an apocalyptic number.

141007507410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141007507410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211121593344).

141007507410 is an abundant number, since it is smaller than the sum of its proper divisors (281235679278).

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

141007507410 is a wasteful number, since it uses less digits than its factorization.

141007507410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46240.

The product of its (nonzero) digits is 3920, while the sum is 30.

The spelling of 141007507410 in words is "one hundred forty-one billion, seven million, five hundred seven thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 1361 2310 2722 4083 6805 8166 9527 13610 14971 19054 20415 28581 29942 40830 44851 44913 47635 57162 74855 89702 89826 95270 104797 134553 142905 149710 209594 224255 224565 269106 285810 313957 314391 448510 449130 493361 523985 627914 628782 672765 941871 986722 1047970 1345530 1480083 1569785 1571955 1883742 2466805 2960166 3139570 3143910 3453527 4709355 4933610 6907054 7400415 9418710 10360581 14800830 17267635 20721162 34535270 51802905 61042211 103605810 122084422 183126633 305211055 366253266 427295477 610422110 671464321 854590954 915633165 1281886431 1342928642 1831266330 2014392963 2136477385 2563772862 3357321605 4028785926 4272954770 4700250247 6409432155 6714643210 9400500494 10071964815 12818864310 14100750741 20143929630 23501251235 28201501482 47002502470 70503753705 141007507410