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1003424233140 = 2232575231522693
BaseRepresentation
bin11101001101000001011…
…11101011011010110100
310112221000100201111021200
432212200233223122310
5112420003100430030
62044544451412500
7132331534153020
oct16464057533264
93487010644250
101003424233140
11357605902a3a
121425788b4130
13738128277b4
14367cd121380
151b17c1a8d60
hexe9a0beb6b4

1003424233140 has 144 divisors (see below), whose sum is σ = 3485190753408. Its totient is φ = 228915424512.

The previous prime is 1003424233121. The next prime is 1003424233171. The reversal of 1003424233140 is 413324243001.

1003424233140 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 424 + 233 + 1 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102367 + ... + 1420326.

Almost surely, 21003424233140 is an apocalyptic number.

1003424233140 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 1003424233140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742595376704).

1003424233140 is an abundant number, since it is smaller than the sum of its proper divisors (2481766520268).

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

1003424233140 is a wasteful number, since it uses less digits than its factorization.

1003424233140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523238 (or 1523233 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1003424233140 its reverse (413324243001), we get a palindrome (1416748476141).

The spelling of 1003424233140 in words is "one trillion, three billion, four hundred twenty-four million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 523 630 1046 1260 1569 2092 2615 3138 3661 4707 5230 6276 7322 7845 9414 10460 10983 14644 15690 18305 18828 21966 23535 31380 32949 36610 43932 47070 54915 65898 73220 94140 109830 131796 164745 219660 329490 658980 1522693 3045386 4568079 6090772 7613465 9136158 10658851 13704237 15226930 18272316 21317702 22840395 27408474 30453860 31976553 42635404 45680790 53294255 54816948 63953106 68521185 91361580 95929659 106588510 127906212 137042370 159882765 191859318 213177020 274084740 319765530 383718636 479648295 639531060 796368439 959296590 1592736878 1918593180 2389105317 3185473756 3981842195 4778210634 5574579073 7167315951 7963684390 9556421268 11149158146 11945526585 14334631902 15927368780 16723737219 22298316292 23891053170 27872895365 28669263804 33447474438 35836579755 47782106340 50171211657 55745790730 66894948876 71673159510 83618686095 100342423314 111491581460 143346319020 167237372190 200684846628 250856058285 334474744380 501712116570 1003424233140