Search a number
-
+
402414010303340 = 225747571710697419
BaseRepresentation
bin101101101111111100101000…
…0001000110000001101101100
31221202211101220021112111012102
41123133321100020300031230
5410221122343114201330
63543510235541354232
7150522311212642010
oct13337712010601554
91852741807474172
10402414010303340
111072489069a5072
1239172645a08978
131437062abc8c79
147152d28c96540
15317caa29c0945
hex16dfe5023036c

402414010303340 has 96 divisors (see below), whose sum is σ = 986515045447680. Its totient is φ = 135011342363904.

The previous prime is 402414010303307. The next prime is 402414010303421. The reversal of 402414010303340 is 43303010414204.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32269151 + ... + 42966569.

It is an arithmetic number, because the mean of its divisors is an integer number (10276198390080).

Almost surely, 2402414010303340 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 402414010303340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493257522723840).

402414010303340 is an abundant number, since it is smaller than the sum of its proper divisors (584101035144340).

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

402414010303340 is a wasteful number, since it uses less digits than its factorization.

402414010303340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10703199 (or 10703197 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 402414010303340 its reverse (43303010414204), we get a palindrome (445717020717544).

The spelling of 402414010303340 in words is "four hundred two trillion, four hundred fourteen billion, ten million, three hundred three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 5717 6580 11434 22868 28585 40019 57170 80038 114340 160076 200095 268699 400190 537398 800380 1074796 1343495 1880893 2686990 3761786 5373980 7523572 9404465 10697419 18808930 21394838 37617860 42789676 53487095 74881933 106974190 149763866 213948380 299527732 374409665 502778693 748819330 1005557386 1497638660 2011114772 2513893465 3519450851 5027786930 7038901702 10055573860 14077803404 17597254255 35194508510 61157144423 70389017020 122314288846 244628577692 305785722115 428100010961 611571444230 856200021922 1223142888460 1712400043844 2140500054805 2874385787881 4281000109610 5748771575762 8562000219220 11497543151524 14371928939405 20120700515167 28743857878810 40241401030334 57487715757620 80482802060668 100603502575835 201207005151670 402414010303340