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30233920137444 = 2232532172912
BaseRepresentation
bin1101101111111011000100…
…00100011110100011100100
310222001100000212200221222100
412313331202010132203210
512430323032023344234
6144145134323332100
76240220503634212
oct667754204364344
9128040025627870
1030233920137444
1196a71517a25a1
123483652821030
1313b407b03226a
1476748839bcb2
153766c10c4399
hex1b7f6211e8e4

30233920137444 has 81 divisors (see below), whose sum is σ = 77898317833609. Its totient is φ = 9887251090080.

The previous prime is 30233920137437. The next prime is 30233920137451. The reversal of 30233920137444 is 44473102933203.

The square root of 30233920137444 is 5498538.

It is a perfect power (a square), and thus also a powerful number.

30233920137444 is a `hidden beast` number, since 3 + 0 + 2 + 3 + 39 + 201 + 374 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (30233920137437) and next prime (30233920137451).

It can be written as a sum of positive squares in only one way, i.e., 21795545844900 + 8438374292544 = 4668570^2 + 2904888^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30233920137444.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1748526439 + ... + 1748543729.

Almost surely, 230233920137444 is an apocalyptic number.

30233920137444 is the 5498538-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30233920137444

30233920137444 is an abundant number, since it is smaller than the sum of its proper divisors (47664397696165).

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

30233920137444 is an frugal number, since it uses more digits than its factorization.

30233920137444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34698 (or 17349 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 30233920137444 in words is "thirty trillion, two hundred thirty-three billion, nine hundred twenty million, one hundred thirty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 2809 5618 8427 11236 16854 17291 25281 33708 34582 50562 51873 69164 101124 103746 155619 207492 311238 622476 916423 1832846 2749269 3665692 5498538 8247807 10997076 16495614 32991228 48570419 97140838 145711257 194281676 291422514 298978681 437133771 582845028 597957362 874267542 896936043 1195914724 1748535084 1793872086 2690808129 3587744172 5381616258 10763232516 15845870093 31691740186 47537610279 63383480372 95075220558 142612830837 190150441116 285225661674 570451323348 839831114929 1679662229858 2519493344787 3359324459716 5038986689574 7558480034361 10077973379148 15116960068722 30233920137444