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14433650040 = 2335439293011
BaseRepresentation
bin11010111000101000…
…00000010101111000
31101020220110101121010
431130110000111320
5214030003300130
610344123113520
71020452000235
oct153424002570
941226411533
1014433650040
1161374679a7
1229699728a0
131490402934
149acd1a78c
155972420b0
hex35c500578

14433650040 has 128 divisors (see below), whose sum is σ = 44370374400. Its totient is φ = 3754168320.

The previous prime is 14433649981. The next prime is 14433650047. The reversal of 14433650040 is 4005633441.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14433650047) 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, 4792135 + ... + 4795145.

It is an arithmetic number, because the mean of its divisors is an integer number (346643550).

Almost surely, 214433650040 is an apocalyptic number.

14433650040 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 14433650040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22185187200).

14433650040 is an abundant number, since it is smaller than the sum of its proper divisors (29936724360).

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

14433650040 is a wasteful number, since it uses less digits than its factorization.

14433650040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

It can be divided in two parts, 144336 and 50040, that added together give a triangular number (194376 = T623).

The spelling of 14433650040 in words is "fourteen billion, four hundred thirty-three million, six hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 929 1032 1290 1720 1858 2580 2787 3011 3716 4645 5160 5574 6022 7432 9033 9290 11148 12044 13935 15055 18066 18580 22296 24088 27870 30110 36132 37160 39947 45165 55740 60220 72264 79894 90330 111480 119841 120440 129473 159788 180660 199735 239682 258946 319576 361320 388419 399470 479364 517892 599205 647365 776838 798940 958728 1035784 1198410 1294730 1553676 1597880 1942095 2396820 2589460 2797219 3107352 3884190 4793640 5178920 5594438 7768380 8391657 11188876 13986095 15536760 16783314 22377752 27972190 33566628 41958285 55944380 67133256 83916570 111888760 120280417 167833140 240560834 335666280 360841251 481121668 601402085 721682502 962243336 1202804170 1443365004 1804206255 2405608340 2886730008 3608412510 4811216680 7216825020 14433650040