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402114344010 = 235711731816029
BaseRepresentation
bin1011101100111111110…
…00011111010001001010
31102102221001002011201020
411312133320133101022
523042012233002020
6504421225533310
741023524346161
oct5663770372112
91372831064636
10402114344010
11145599078345
1265b23344236
132bbc46ac082
1415668d043d8
15a6d7345c40
hex5d9fe1f44a

402114344010 has 128 divisors (see below), whose sum is σ = 989926479360. Its totient is φ = 104511052800.

The previous prime is 402114343993. The next prime is 402114344029. The reversal of 402114344010 is 10443411204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66693676 + ... + 66699704.

It is an arithmetic number, because the mean of its divisors is an integer number (7733800620).

Almost surely, 2402114344010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402114344010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494963239680).

402114344010 is an abundant number, since it is smaller than the sum of its proper divisors (587812135350).

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

402114344010 is a wasteful number, since it uses less digits than its factorization.

402114344010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6464.

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

Adding to 402114344010 its reverse (10443411204), we get a palindrome (412557755214).

The spelling of 402114344010 in words is "four hundred two billion, one hundred fourteen million, three hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 71 142 173 181 213 346 355 362 426 519 543 710 865 905 1038 1065 1086 1730 1810 2130 2595 2715 5190 5430 6029 12058 12283 12851 18087 24566 25702 30145 31313 36174 36849 38553 60290 61415 62626 64255 73698 77106 90435 93939 122830 128510 156565 180870 184245 187878 192765 313130 368490 385530 428059 469695 856118 939390 1043017 1091249 1284177 2086034 2140295 2182498 2223223 2568354 3129051 3273747 4280590 4446446 5215085 5456245 6258102 6420885 6547494 6669669 10430170 10912490 11116115 12841770 13339338 15645255 16368735 22232230 31290510 32737470 33348345 66696690 74054207 77478679 148108414 154957358 188786077 222162621 232436037 370271035 377572154 387393395 444325242 464872074 566358231 740542070 774786790 943930385 1110813105 1132716462 1162180185 1887860770 2221626210 2324360370 2831791155 5663582310 13403811467 26807622934 40211434401 67019057335 80422868802 134038114670 201057172005 402114344010