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30435404314240 = 275194753253437
BaseRepresentation
bin1101110101110010010110…
…11101100111011010000000
310222202121002122201122021201
412322321023131213122000
512442123202001023430
6144421455352430544
76260612456114242
oct672711335473200
9128677078648251
1030435404314240
119774645316792
1234b67033a8454
1313ca07a993453
1477311d624092
1537ba649b98ca
hex1bae4b767680

30435404314240 has 128 divisors (see below), whose sum is σ = 78218649734400. Its totient is φ = 11288024322048.

The previous prime is 30435404314177. The next prime is 30435404314241. The reversal of 30435404314240 is 4241340453403.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 30435404314240.

It is not an unprimeable number, because it can be changed into a prime (30435404314241) 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, 26055199 + ... + 27198238.

It is an arithmetic number, because the mean of its divisors is an integer number (611083201050).

Almost surely, 230435404314240 is an apocalyptic number.

It is an amenable number.

30435404314240 is an abundant number, since it is smaller than the sum of its proper divisors (47783245420160).

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

30435404314240 is a wasteful number, since it uses less digits than its factorization.

30435404314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53253522 (or 53253510 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 30435404314240 its reverse (4241340453403), we get a palindrome (34676744767643).

The spelling of 30435404314240 in words is "thirty trillion, four hundred thirty-five billion, four hundred four million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 47 64 76 80 94 95 128 152 160 188 190 235 304 320 376 380 470 608 640 752 760 893 940 1216 1504 1520 1786 1880 2432 3008 3040 3572 3760 4465 6016 6080 7144 7520 8930 12160 14288 15040 17860 28576 30080 35720 57152 71440 114304 142880 285760 571520 53253437 106506874 213013748 266267185 426027496 532534370 852054992 1011815303 1065068740 1704109984 2023630606 2130137480 2502911539 3408219968 4047261212 4260274960 5005823078 5059076515 6816439936 8094522424 8520549920 10011646156 10118153030 12514557695 16189044848 17041099840 20023292312 20236306060 25029115390 32378089696 34082199680 40046584624 40472612120 47555319241 50058230780 64756179392 80093169248 80945224240 95110638482 100116461560 129512358784 160186338496 161890448480 190221276964 200232923120 237776596205 320372676992 323780896960 380442553928 400465846240 475553192410 647561793920 760885107856 800931692480 951106384820 1521770215712 1601863384960 1902212769640 3043540431424 3804425539280 6087080862848 7608851078560 15217702157120 30435404314240