Search a number
-
+
240020010243640 = 235112272617918259
BaseRepresentation
bin110110100100110000000011…
…011100110001011000111000
31011110211200121012100202202201
4312210300003130301120320
5222424441440110244030
62210251400454435544
7101361605414551144
oct6644600334613070
91143750535322681
10240020010243640
116a528a07523660
1222b0559b962bb4
13a3c0a363a99a3
14433b05d8d0224
151cb371089c2ca
hexda4c03731638

240020010243640 has 128 divisors (see below), whose sum is σ = 591962112403200. Its totient is φ = 86862211476480.

The previous prime is 240020010243623. The next prime is 240020010243743. The reversal of 240020010243640 is 46342010020042.

It is a junction number, because it is equal to n+sod(n) for n = 240020010243599 and 240020010243608.

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, 260926831 + ... + 261845089.

It is an arithmetic number, because the mean of its divisors is an integer number (4624704003150).

Almost surely, 2240020010243640 is an apocalyptic number.

240020010243640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240020010243640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295981056201600).

240020010243640 is an abundant number, since it is smaller than the sum of its proper divisors (351942102159560).

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

240020010243640 is a wasteful number, since it uses less digits than its factorization.

240020010243640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921125 (or 921121 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 240020010243640 its reverse (46342010020042), we get a palindrome (286362020263682).

The spelling of 240020010243640 in words is "two hundred forty trillion, twenty billion, ten million, two hundred forty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 227 440 454 908 1135 1816 2270 2497 2617 4540 4994 5234 9080 9988 10468 12485 13085 19976 20936 24970 26170 28787 49940 52340 57574 99880 104680 115148 143935 230296 287870 575740 594059 918259 1151480 1188118 1836518 2376236 2970295 3673036 4591295 4752472 5940590 6534649 7346072 9182590 10100849 11881180 13069298 18365180 20201698 23762360 26138596 32673245 36730360 40403396 50504245 52277192 65346490 80806792 101008490 130692980 202016980 208444793 261385960 404033960 416889586 833779172 1042223965 1667558344 2084447930 2292892723 2403083803 4168895860 4585785446 4806167606 8337791720 9171570892 9612335212 11464463615 12015419015 18343141784 19224670424 22928927230 24030838030 26433921833 45857854460 48061676060 52867843666 91715708920 96123352120 105735687332 132169609165 211471374664 264339218330 528678436660 545500023281 1057356873320 1091000046562 2182000093124 2727500116405 4364000186248 5455000232810 6000500256091 10910000465620 12001000512182 21820000931240 24002001024364 30002501280455 48004002048728 60005002560910 120010005121820 240020010243640