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5040304220322 = 233747439646253
BaseRepresentation
bin100100101011000100110…
…0010101110100010100010
3122211211220110121122202000
41021112021202232202202
51130040020340022242
614415252255504430
71030102302660510
oct111261142564242
918754813548660
105040304220322
111673643371858
12694a17828116
132a73b6191547
14135d485054b0
158b19ac9ca4c
hex495898ae8a2

5040304220322 has 128 divisors (see below), whose sum is σ = 13102929100800. Its totient is φ = 1406234011968.

The previous prime is 5040304220317. The next prime is 5040304220353. The reversal of 5040304220322 is 2230224030405.

It is a happy number.

5040304220322 is a `hidden beast` number, since 5 + 0 + 403 + 0 + 4 + 220 + 32 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7476148 + ... + 8122400.

It is an arithmetic number, because the mean of its divisors is an integer number (102366633600).

Almost surely, 25040304220322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040304220322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551464550400).

5040304220322 is an abundant number, since it is smaller than the sum of its proper divisors (8062624880478).

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

5040304220322 is a wasteful number, since it uses less digits than its factorization.

5040304220322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646757 (or 646751 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 5040304220322 its reverse (2230224030405), we get a palindrome (7270528250727).

The spelling of 5040304220322 in words is "five trillion, forty billion, three hundred four million, two hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 141 189 282 329 378 423 439 658 846 878 987 1269 1317 1974 2538 2634 2961 3073 3951 5922 6146 7902 8883 9219 11853 17766 18438 20633 23706 27657 41266 55314 61899 82971 123798 144431 165942 185697 288862 371394 433293 557091 646253 866586 1114182 1292506 1299879 1938759 2599758 3877518 3899637 4523771 5816277 7799274 9047542 11632554 13571313 17448831 27142626 30373891 34897662 40713939 60747782 81427878 91121673 122141817 182243346 212617237 244283634 273365019 283705067 425234474 546730038 567410134 637851711 820095057 851115201 1275703422 1640190114 1702230402 1913555133 1985935469 2553345603 3827110266 3971870938 5106691206 5740665399 5957806407 7660036809 11481330798 11915612814 13334138149 15320073618 17873419221 26668276298 35746838442 40002414447 53620257663 80004828894 93338967043 107240515326 120007243341 186677934086 240014486682 280016901129 360021730023 560033802258 720043460046 840050703387 1680101406774 2520152110161 5040304220322