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20340444033 = 357132173409
BaseRepresentation
bin10010111100011000…
…101000101110000001
31221111120010121200000
4102330120220232001
5313124123202113
613202210150213
71320024631050
oct227430505601
957446117600
1020340444033
118698717728
123b37b82369
131bc2096400
14dad5c6397
157e0ab8373
hex4bc628b81

20340444033 has 144 divisors (see below), whose sum is σ = 38016800640. Its totient is φ = 10640927232.

The previous prime is 20340443999. The next prime is 20340444041. The reversal of 20340444033 is 33044404302.

It is not a de Polignac number, because 20340444033 - 210 = 20340443009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20340443988 and 20340444006.

It is not an unprimeable number, because it can be changed into a prime (20340444233) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49731933 + ... + 49732341.

It is an arithmetic number, because the mean of its divisors is an integer number (264005560).

Almost surely, 220340444033 is an apocalyptic number.

It is an amenable number.

20340444033 is a deficient number, since it is larger than the sum of its proper divisors (17676356607).

20340444033 is a wasteful number, since it uses less digits than its factorization.

20340444033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 20340444033 its reverse (33044404302), we get a palindrome (53384848335).

The spelling of 20340444033 in words is "twenty billion, three hundred forty million, four hundred forty-four thousand, thirty-three".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 169 173 189 243 273 351 409 507 519 567 819 1053 1183 1211 1227 1521 1557 1701 2249 2457 2863 3159 3549 3633 3681 4563 4671 5317 6747 7371 8589 10647 10899 11043 13689 14013 15743 15951 20241 22113 25767 29237 31941 32697 33129 37219 41067 42039 47229 47853 60723 69121 70757 77301 87711 95823 98091 99387 111657 141687 143559 182169 204659 207363 212271 231903 263133 287469 294273 334971 425061 430677 483847 495299 546507 613977 622089 636813 695709 789399 919841 1004913 1275183 1292031 1451541 1485897 1841931 1866267 1910439 2368197 2759523 3014739 3825549 4354623 4457691 5525793 5598801 5731317 6438887 7104591 8278569 9044217 11957933 13063869 13373073 16577379 16796403 17193951 19316661 24835707 35873799 39191607 40119219 49732137 57949983 74507121 83705531 107621397 117574821 120357657 173849949 223521363 251116593 322864191 521549847 753349779 968592573 1564649541 2260049337 2905777719 6780148011 20340444033