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30087403440 = 2435473737151
BaseRepresentation
bin11100000001010110…
…010101011110110000
32212122211202110100120
4130001112111132300
5443104333402230
621453313250240
72113410465243
oct340126253660
985584673316
1030087403440
111183a611586
1259b8263980
132ab6518203
141655cbb25a
15bb1641310
hex7015957b0

30087403440 has 160 divisors (see below), whose sum is σ = 95524171776. Its totient is φ = 7830451200.

The previous prime is 30087403427. The next prime is 30087403453. The reversal of 30087403440 is 4430478003.

It is an interprime number because it is at equal distance from previous prime (30087403427) and next prime (30087403453).

It is a super-2 number, since 2×300874034402 (a number of 22 digits) contains 22 as substring.

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, 4203865 + ... + 4211015.

Almost surely, 230087403440 is an apocalyptic number.

30087403440 is a gapful number since it is divisible by the number (30) 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 30087403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47762085888).

30087403440 is an abundant number, since it is smaller than the sum of its proper divisors (65436768336).

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

30087403440 is a wasteful number, since it uses less digits than its factorization.

30087403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7587 (or 7581 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 30087403440 in words is "thirty billion, eighty-seven million, four hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 373 376 470 564 705 746 752 940 1119 1128 1410 1492 1865 1880 2238 2256 2820 2984 3730 3760 4476 5595 5640 5968 7151 7460 8952 11190 11280 14302 14920 17531 17904 21453 22380 28604 29840 35062 35755 42906 44760 52593 57208 70124 71510 85812 87655 89520 105186 107265 114416 140248 143020 171624 175310 210372 214530 262965 280496 286040 336097 343248 350620 420744 429060 525930 572080 672194 701240 841488 858120 1008291 1051860 1344388 1402480 1680485 1716240 2016582 2103720 2667323 2688776 3360970 4033164 4207440 5041455 5334646 5377552 6721940 8001969 8066328 10082910 10669292 13336615 13443880 16003938 16132656 20165820 21338584 26673230 26887760 32007876 40009845 40331640 42677168 53346460 64015752 80019690 80663280 106692920 125364181 128031504 160039380 213385840 250728362 320078760 376092543 501456724 626820905 640157520 752185086 1002913448 1253641810 1504370172 1880462715 2005826896 2507283620 3008740344 3760925430 5014567240 6017480688 7521850860 10029134480 15043701720 30087403440