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31430330320000 = 27541723110537
BaseRepresentation
bin1110010010101111100011…
…01011001000010010000000
311010021201011202112110012011
413021113301223020102000
513104423304030220000
6150502521105542304
76422523612455203
oct711276153102200
9133251152473164
1031430330320000
11a01858a095707
1236374aa044994
13146cb37993821
147a9343c2793a
15397895a602ba
hex1c95f1ac8480

31430330320000 has 160 divisors (see below), whose sum is σ = 82846425517020. Its totient is φ = 11832594432000.

The previous prime is 31430330319967. The next prime is 31430330320003. The reversal of 31430330320000 is 2303303413.

It can be written as a sum of positive squares in 10 ways, for example, as 87620736064 + 31342709583936 = 296008^2 + 5598456^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×314303303200002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31430330320003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10195269 + ... + 12915268.

Almost surely, 231430330320000 is an apocalyptic number.

It is an amenable number.

31430330320000 is an abundant number, since it is smaller than the sum of its proper divisors (51416095197020).

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

31430330320000 is an equidigital number, since it uses as much as digits as its factorization.

31430330320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23110588 (or 23110561 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 31430330320000 its reverse (2303303413), we get a palindrome (31432633623413).

The spelling of 31430330320000 in words is "thirty-one trillion, four hundred thirty billion, three hundred thirty million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 272 320 340 400 425 500 544 625 640 680 800 850 1000 1088 1250 1360 1600 1700 2000 2125 2176 2500 2720 3200 3400 4000 4250 5000 5440 6800 8000 8500 10000 10625 10880 13600 16000 17000 20000 21250 27200 34000 40000 42500 54400 68000 80000 85000 136000 170000 272000 340000 680000 1360000 23110537 46221074 92442148 115552685 184884296 231105370 369768592 392879129 462210740 577763425 739537184 785758258 924421480 1155526850 1479074368 1571516516 1848842960 1964395645 2311053700 2888817125 2958148736 3143033032 3697685920 3928791290 4622107400 5777634250 6286066064 7395371840 7857582580 9244214800 9821978225 11555268500 12572132128 14444085625 14790743680 15715165160 18488429600 19643956450 23110537000 25144264256 28888171250 31430330320 36976859200 39287912900 46221074000 49109891125 50288528512 57776342500 62860660640 73953718400 78575825800 92442148000 98219782250 115552685000 125721321280 157151651600 184884296000 196439564500 231105370000 245549455625 251442642560 314303303200 369768592000 392879129000 462210740000 491098911250 628606606400 785758258000 924421480000 982197822500 1257213212800 1571516516000 1848842960000 1964395645000 3143033032000 3928791290000 6286066064000 7857582580000 15715165160000 31430330320000