Search a number
-
+
4214736452540 = 2252359479324209
BaseRepresentation
bin111101010101010001110…
…111100111101110111100
3112220220222020012201222002
4331111101313213232330
51023023240012440130
612544120113241432
7613335045511445
oct75252167475674
915826866181862
104214736452540
111385506938769
12580a16863278
132475a9189ac3
14107dcc6402cc
157497d035b45
hex3d551de7bbc

4214736452540 has 96 divisors (see below), whose sum is σ = 9411945984000. Its totient is φ = 1581948296192.

The previous prime is 4214736452533. The next prime is 4214736452561. The reversal of 4214736452540 is 452546374124.

It is a congruent 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, 12837956 + ... + 13162164.

It is an arithmetic number, because the mean of its divisors is an integer number (98041104000).

Almost surely, 24214736452540 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 4214736452540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705972992000).

4214736452540 is an abundant number, since it is smaller than the sum of its proper divisors (5197209531460).

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

4214736452540 is a wasteful number, since it uses less digits than its factorization.

4214736452540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324779 (or 324777 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 47.

The spelling of 4214736452540 in words is "four trillion, two hundred fourteen billion, seven hundred thirty-six million, four hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 460 479 590 958 1180 1357 1916 2395 2714 4790 5428 6785 9580 11017 13570 22034 27140 28261 44068 55085 56522 110170 113044 141305 220340 282610 324209 565220 648418 650003 1296836 1300006 1621045 2600012 3242090 3250015 6484180 6500030 7456807 13000060 14913614 19128331 29827228 37284035 38256662 74568070 76513324 95641655 149136140 155296111 191283310 310592222 382566620 439951613 621184444 776480555 879903226 1552961110 1759806452 2199758065 3105922220 3571810553 4399516130 7143621106 8799032260 9162470549 14287242212 17859052765 18324941098 35718105530 36649882196 45812352745 71436211060 91624705490 183249410980 210736822627 421473645254 842947290508 1053684113135 2107368226270 4214736452540