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30434717500 = 2254111765101
BaseRepresentation
bin11100010110000011…
…001110111100111100
32220120001021211200021
4130112003032330330
5444312241430000
621552001341524
72125125554545
oct342603167474
986501254607
1030434717500
11119a86717a0
125a946378a4
132b404709a5
14168a0894cc
15bd1d9911a
hex7160cef3c

30434717500 has 120 divisors (see below), whose sum is σ = 76877128944. Its totient is φ = 10416000000.

The previous prime is 30434717491. The next prime is 30434717519. The reversal of 30434717500 is 571743403.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 434950 + ... + 500050.

Almost surely, 230434717500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30434717500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38438564472).

30434717500 is an abundant number, since it is smaller than the sum of its proper divisors (46442411444).

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

30434717500 is a wasteful number, since it uses less digits than its factorization.

30434717500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65153 (or 65136 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The spelling of 30434717500 in words is "thirty billion, four hundred thirty-four million, seven hundred seventeen thousand, five hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 125 170 187 220 250 275 340 374 425 500 550 625 748 850 935 1100 1250 1375 1700 1870 2125 2500 2750 3740 4250 4675 5500 6875 8500 9350 10625 13750 18700 21250 23375 27500 42500 46750 65101 93500 116875 130202 233750 260404 325505 467500 651010 716111 1106717 1302020 1432222 1627525 2213434 2864444 3255050 3580555 4426868 5533585 6510100 7161110 8137625 11067170 12173887 14322220 16275250 17902775 22134340 24347774 27667925 32550500 35805550 40688125 48695548 55335850 60869435 71611100 81376250 89513875 110671700 121738870 138339625 162752500 179027750 243477740 276679250 304347175 358055500 447569375 553358500 608694350 691698125 895138750 1217388700 1383396250 1521735875 1790277500 2766792500 3043471750 6086943500 7608679375 15217358750 30434717500