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13434420432330 = 23256110151241067
BaseRepresentation
bin1100001101111111000111…
…0110111000110111001010
31202120022120212012000211100
43003133301312320313022
53230102143112313310
644323404302042230
72554414314346152
oct303376166706712
952508525160740
1013434420432330
11430a562110387
12160b820279376
13765b25426981
1434632d749762
151846d7ccbec0
hexc37f1db8dca

13434420432330 has 96 divisors (see below), whose sum is σ = 35505752450688. Its totient is φ = 3523420656000.

The previous prime is 13434420432313. The next prime is 13434420432373. The reversal of 13434420432330 is 3323402443431.

13434420432330 is a `hidden beast` number, since 1 + 343 + 4 + 42 + 0 + 43 + 233 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55608457 + ... + 55849523.

It is an arithmetic number, because the mean of its divisors is an integer number (369851588028).

Almost surely, 213434420432330 is an apocalyptic number.

13434420432330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13434420432330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17752876225344).

13434420432330 is an abundant number, since it is smaller than the sum of its proper divisors (22071332018358).

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

13434420432330 is a wasteful number, since it uses less digits than its factorization.

13434420432330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251292 (or 251289 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 13434420432330 its reverse (3323402443431), we get a palindrome (16757822875761).

The spelling of 13434420432330 in words is "thirteen trillion, four hundred thirty-four billion, four hundred twenty million, four hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 10151 20302 30453 50755 60906 91359 101510 152265 182718 241067 304530 456795 482134 619211 723201 913590 1205335 1238422 1446402 1857633 2169603 2410670 3096055 3616005 3715266 4339206 5572899 6192110 7232010 9288165 10848015 11145798 14705087 18576330 21696030 27864495 29410174 44115261 55728990 73525435 88230522 132345783 147050870 220576305 264691566 441152610 661728915 1323457830 2447071117 4894142234 7341213351 12235355585 14682426702 22023640053 24470711170 36706066755 44047280106 73412133510 110118200265 149271338137 220236400530 298542676274 447814014411 746356690685 895628028822 1343442043233 1492713381370 2239070072055 2686884086466 4478140144110 6717210216165 13434420432330