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13124431041000 = 2335323471864001
BaseRepresentation
bin1011111011111100010100…
…0011001101000111101000
31201110200110011110100022120
42332333011003031013220
53210012313321303000
643525140321351240
72523131431114566
oct276770503150750
951420404410276
1013124431041000
114200049195574
12157b729498520
13742822b83526
14335323a46a36
1517b5e36586a0
hexbefc50cd1e8

13124431041000 has 128 divisors (see below), whose sum is σ = 40965693874560. Its totient is φ = 3498355200000.

The previous prime is 13124431040923. The next prime is 13124431041017. The reversal of 13124431041000 is 14013442131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6109000 + ... + 7973000.

It is an arithmetic number, because the mean of its divisors is an integer number (320044483395).

Almost surely, 213124431041000 is an apocalyptic number.

13124431041000 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 13124431041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482846937280).

13124431041000 is an abundant number, since it is smaller than the sum of its proper divisors (27841262833560).

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

13124431041000 is a wasteful number, since it uses less digits than its factorization.

13124431041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866372 (or 1866358 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13124431041000 its reverse (14013442131), we get a palindrome (13138444483131).

The spelling of 13124431041000 in words is "thirteen trillion, one hundred twenty-four billion, four hundred thirty-one million, forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2347 3000 4694 7041 9388 11735 14082 18776 23470 28164 35205 46940 56328 58675 70410 93880 117350 140820 176025 234700 281640 293375 352050 469400 586750 704100 880125 1173500 1408200 1760250 1864001 2347000 3520500 3728002 5592003 7041000 7456004 9320005 11184006 14912008 18640010 22368012 27960015 37280020 44736024 46600025 55920030 74560040 93200050 111840060 139800075 186400100 223680120 233000125 279600150 372800200 466000250 559200300 699000375 932000500 1118400600 1398000750 1864001000 2796001500 4374810347 5592003000 8749620694 13124431041 17499241388 21874051735 26248862082 34998482776 43748103470 52497724164 65622155205 87496206940 104995448328 109370258675 131244310410 174992413880 218740517350 262488620820 328110776025 437481034700 524977241640 546851293375 656221552050 874962069400 1093702586750 1312443104100 1640553880125 2187405173500 2624886208200 3281107760250 4374810347000 6562215520500 13124431041000