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20440434300 = 223521113476467
BaseRepresentation
bin10011000010010110…
…000100011001111100
31221202112021122112020
4103002112010121330
5313330222344200
613220141240140
71322350552626
oct230226043174
957675248466
1020440434300
11873a101910
123b65563050
131c09a05650
14dbc9b3c16
157e9769ea0
hex4c258467c

20440434300 has 144 divisors (see below), whose sum is σ = 69480469632. Its totient is φ = 4574073600.

The previous prime is 20440434299. The next prime is 20440434317. The reversal of 20440434300 is 343404402.

It is a happy number.

It is a super-2 number, since 2×204404343002 (a number of 21 digits) contains 22 as substring.

It is a congruent 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, 195334 + ... + 281133.

Almost surely, 220440434300 is an apocalyptic number.

20440434300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20440434300 is an abundant number, since it is smaller than the sum of its proper divisors (49040035332).

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

20440434300 is a wasteful number, since it uses less digits than its factorization.

20440434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476508 (or 476501 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 20440434300 its reverse (343404402), we get a palindrome (20783838702).

The spelling of 20440434300 in words is "twenty billion, four hundred forty million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 8580 10725 14300 21450 42900 476467 952934 1429401 1905868 2382335 2858802 4764670 5241137 5717604 6194071 7147005 9529340 10482274 11911675 12388142 14294010 15723411 18582213 20964548 23823350 24776284 26205685 28588020 30970355 31446822 35735025 37164426 47646700 52411370 61940710 62893644 68134781 71470050 74328852 78617055 92911065 104822740 123881420 131028425 136269562 142940100 154851775 157234110 185822130 204404343 262056850 272539124 309703550 314468220 340673905 371644260 393085275 408808686 464555325 524113700 619407100 681347810 786170550 817617372 929110650 1022021715 1362695620 1572341100 1703369525 1858221300 2044043430 3406739050 4088086860 5110108575 6813478100 10220217150 20440434300