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30014034432 = 293592271459
BaseRepresentation
bin11011111100111110…
…011101001000000000
32212110201200220222220
4123330332131020000
5442432043100212
621442132531040
72111530040364
oct337476351000
985421626886
1030014034432
111180215a338
125997780a80
132aa426a0b5
14164a25d2a4
15ba9e9c38c
hex6fcf9d200

30014034432 has 160 divisors (see below), whose sum is σ = 81728697600. Its totient is φ = 9785069568.

The previous prime is 30014034383. The next prime is 30014034433. The reversal of 30014034432 is 23443041003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30014034433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20570919 + ... + 20572377.

It is an arithmetic number, because the mean of its divisors is an integer number (510804360).

Almost surely, 230014034432 is an apocalyptic number.

30014034432 is a gapful number since it is divisible by the number (32) 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 30014034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40864348800).

30014034432 is an abundant number, since it is smaller than the sum of its proper divisors (51714663168).

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

30014034432 is a wasteful number, since it uses less digits than its factorization.

30014034432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 30014034432 its reverse (23443041003), we get a palindrome (53457075435).

The spelling of 30014034432 in words is "thirty billion, fourteen million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 227 236 256 354 384 454 472 512 681 708 768 908 944 1362 1416 1459 1536 1816 1888 2724 2832 2918 3632 3776 4377 5448 5664 5836 7264 7552 8754 10896 11328 11672 13393 14528 15104 17508 21792 22656 23344 26786 29056 30208 35016 40179 43584 45312 46688 53572 58112 70032 80358 86081 87168 90624 93376 107144 116224 140064 160716 172162 174336 186752 214288 258243 280128 321432 331193 344324 348672 373504 428576 516486 560256 642864 662386 688648 747008 857152 993579 1032972 1120512 1285728 1324772 1377296 1714304 1987158 2065944 2241024 2571456 2649544 2754592 3428608 3974316 4131888 5142912 5299088 5509184 6857216 7948632 8263776 10285824 10598176 11018368 15897264 16527552 19540387 20571648 21196352 22036736 31794528 33055104 39080774 42392704 44073472 58621161 63589056 66110208 78161548 84785408 117242322 127178112 132220416 156323096 169570816 234484644 254356224 312646192 468969288 508712448 625292384 937938576 1250584768 1875877152 2501169536 3751754304 5002339072 7503508608 10004678144 15007017216 30014034432