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4314431044020 = 2235151656972493
BaseRepresentation
bin111110110010001000001…
…000010011100110110100
3120021110022010011201111010
4332302020020103212310
51031141423321402040
613102004450312220
7623464423533216
oct76621010234664
916243263151433
104314431044020
111413815935929
125981ba288670
13253b06626a36
1410cb68cc05b6
1577365543e80
hex3ec882139b4

4314431044020 has 96 divisors (see below), whose sum is σ = 12162428570880. Its totient is φ = 1142705894400.

The previous prime is 4314431043997. The next prime is 4314431044043. The reversal of 4314431044020 is 204401344134.

It is an interprime number because it is at equal distance from previous prime (4314431043997) and next prime (4314431044043).

It is a super-2 number, since 2×43144310440202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 59478894 + ... + 59551386.

It is an arithmetic number, because the mean of its divisors is an integer number (126691964280).

Almost surely, 24314431044020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314431044020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081214285440).

4314431044020 is an abundant number, since it is smaller than the sum of its proper divisors (7847997526860).

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

4314431044020 is a wasteful number, since it uses less digits than its factorization.

4314431044020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79225 (or 79223 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4314431044020 its reverse (204401344134), we get a palindrome (4518832388154).

The spelling of 4314431044020 in words is "four trillion, three hundred fourteen billion, four hundred thirty-one million, forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 4530 6569 9060 13138 19707 26276 32845 39414 65690 72493 78828 98535 131380 144986 197070 217479 289972 362465 394140 434958 724930 869916 991919 1087395 1449860 1983838 2174790 2975757 3967676 4349580 4959595 5951514 9919190 10946443 11903028 14878785 19838380 21892886 29757570 32839329 43785772 54732215 59515140 65678658 109464430 131357316 164196645 218928860 328393290 476206517 656786580 952413034 1428619551 1904826068 2381032585 2857239102 4762065170 5714478204 7143097755 9524130340 14286195510 28572391020 71907184067 143814368134 215721552201 287628736268 359535920335 431443104402 719071840670 862886208804 1078607761005 1438143681340 2157215522010 4314431044020