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30214435328 = 29711977901
BaseRepresentation
bin11100001000111010…
…111011001000000000
32212222200210100100022
4130020322323020000
5443334343412303
621514052113012
72116512314510
oct341072731000
985880710308
1030214435328
11118a5296510
125a32905768
132b069349cc
141668b07840
15bbc885438
hex708ebb200

30214435328 has 160 divisors (see below), whose sum is σ = 76051882368. Its totient is φ = 11649024000.

The previous prime is 30214435309. The next prime is 30214435343. The reversal of 30214435328 is 82353441203.

It is a Cunningham number, because it is equal to 1738232-1.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3820178 + ... + 3828078.

Almost surely, 230214435328 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 30214435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38025941184).

30214435328 is an abundant number, since it is smaller than the sum of its proper divisors (45837447040).

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

30214435328 is an equidigital number, since it uses as much as digits as its factorization.

30214435328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8034 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 30214435328 in words is "thirty billion, two hundred fourteen million, four hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 97 112 128 154 176 194 224 256 308 352 388 448 512 616 679 704 776 896 1067 1232 1358 1408 1552 1792 2134 2464 2716 2816 3104 3584 4268 4928 5432 5632 6208 7469 7901 8536 9856 10864 12416 14938 15802 17072 19712 21728 24832 29876 31604 34144 39424 43456 49664 55307 59752 63208 68288 86911 86912 110614 119504 126416 136576 173822 173824 221228 239008 252832 273152 347644 347648 442456 478016 505664 546304 608377 695288 766397 884912 956032 1011328 1216754 1390576 1532794 1769824 1912064 2022656 2433508 2781152 3065588 3539648 3824128 4045312 4867016 5364779 5562304 6131176 7079296 8430367 9734032 10729558 11124608 12262352 14158592 16860734 19468064 21459116 22249216 24524704 28317184 33721468 38936128 42918232 44498432 49049408 59012569 67442936 77872256 85836464 98098816 118025138 134885872 155744512 171672928 196197632 236050276 269771744 311489024 343345856 392395264 472100552 539543488 686691712 944201104 1079086976 1373383424 1888402208 2158173952 2746766848 3776804416 4316347904 7553608832 15107217664 30214435328