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30514345680 = 24357131397177
BaseRepresentation
bin11100011010110010…
…111111011011010000
32220202121010101000010
4130122302333123100
5444443133030210
622003524154520
72130113441640
oct343262773320
986677111003
1030514345680
1111a39609605
125ab7238a40
132b53b00a60
141696896520
15bd8d77920
hex71acbf6d0

30514345680 has 160 divisors (see below), whose sum is σ = 116424048384. Its totient is φ = 6438187008.

The previous prime is 30514345643. The next prime is 30514345717. The reversal of 30514345680 is 8654341503.

It is an interprime number because it is at equal distance from previous prime (30514345643) and next prime (30514345717).

It is a super-2 number, since 2×305143456802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 676749 + ... + 720428.

Almost surely, 230514345680 is an apocalyptic number.

30514345680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30514345680 is an abundant number, since it is smaller than the sum of its proper divisors (85909702704).

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

30514345680 is a wasteful number, since it uses less digits than its factorization.

30514345680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397213 (or 1397207 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 30514345680 in words is "thirty billion, five hundred fourteen million, three hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 7280 10920 21840 1397177 2794354 4191531 5588708 6985885 8383062 9780239 11177416 13971770 16766124 18163301 19560478 20957655 22354832 27943540 29340717 33532248 36326602 39120956 41915310 48901195 54489903 55887080 58681434 67064496 72653204 78241912 83830620 90816505 97802390 108979806 111774160 117362868 127143107 145306408 146703585 156483824 167661240 181633010 195604780 217959612 234725736 254286214 272449515 290612816 293407170 335322480 363266020 381429321 391209560 435919224 469451472 508572428 544899030 586814340 635715535 726532040 762858642 782419120 871838448 1017144856 1089798060 1173628680 1271431070 1453064080 1525717284 1907146605 2034289712 2179596120 2347257360 2542862140 3051434568 3814293210 4359192240 5085724280 6102869136 7628586420 10171448560 15257172840 30514345680