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200013104104440 = 233511791918038973
BaseRepresentation
bin101101011110100100101110…
…000001010100001111111000
3222020012001210010022112110220
4231132210232001110033320
5202204003314122320230
61545220430155540040
760062320114340604
oct5536445601241770
9866161703275426
10200013104104440
1158804098a32a30
121a523a67a5a620
13877b2020b0633
14375698612c504
15181cbee706d10
hexb5e92e0543f8

200013104104440 has 128 divisors (see below), whose sum is σ = 662874269414400. Its totient is φ = 47874252741120.

The previous prime is 200013104104433. The next prime is 200013104104447. The reversal of 200013104104440 is 44401401310002.

200013104104440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200013104104433) and next prime (200013104104447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 200013104104440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200013104104447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 958915207 + ... + 959123766.

It is an arithmetic number, because the mean of its divisors is an integer number (5178705229800).

Almost surely, 2200013104104440 is an apocalyptic number.

200013104104440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200013104104440 is an abundant number, since it is smaller than the sum of its proper divisors (462861165309960).

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

200013104104440 is a wasteful number, since it uses less digits than its factorization.

200013104104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918039077 (or 1918039073 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 200013104104440 its reverse (44401401310002), we get a palindrome (244414505414442).

The spelling of 200013104104440 in words is "two hundred trillion, thirteen billion, one hundred four million, one hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 79 88 110 120 132 158 165 220 237 264 316 330 395 440 474 632 660 790 869 948 1185 1320 1580 1738 1896 2370 2607 3160 3476 4345 4740 5214 6952 8690 9480 10428 13035 17380 20856 26070 34760 52140 104280 1918038973 3836077946 5754116919 7672155892 9590194865 11508233838 15344311784 19180389730 21098428703 23016467676 28770584595 38360779460 42196857406 46032935352 57541169190 63295286109 76721558920 84393714812 105492143515 115082338380 126590572218 151525078867 168787429624 210984287030 230164676760 253181144436 303050157734 316476430545 421968574060 454575236601 506362288872 606100315468 632952861090 757625394335 843937148120 909150473202 1212200630936 1265905722180 1515250788670 1666775867537 1818300946404 2272876183005 2531811444360 3030501577340 3333551735074 3636601892808 4545752366010 5000327602611 6061003154680 6667103470148 8333879337685 9091504732020 10000655205222 13334206940296 16667758675370 18183009464040 20001310410444 25001638013055 33335517350740 40002620820888 50003276026110 66671034701480 100006552052220 200013104104440