Search a number
-
+
405020043120 = 243571121916669
BaseRepresentation
bin1011110010011010001…
…00110110011101110000
31102201102112122222112210
411321031010312131300
523113440112334440
6510021425052120
741155526364150
oct5711504663560
91381375588483
10405020043120
1114684a28a070
12665b4487040
132c268696b64
1415862ba0760
15a8074ada80
hex5e4d136770

405020043120 has 160 divisors (see below), whose sum is σ = 1565376238080. Its totient is φ = 84160005120.

The previous prime is 405020043059. The next prime is 405020043121. The reversal of 405020043120 is 21340020504.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405020043121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10939855 + ... + 10976814.

It is an arithmetic number, because the mean of its divisors is an integer number (9783601488).

Almost surely, 2405020043120 is an apocalyptic number.

405020043120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405020043120 is an abundant number, since it is smaller than the sum of its proper divisors (1160356194960).

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

405020043120 is a wasteful number, since it uses less digits than its factorization.

405020043120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21916703 (or 21916697 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 405020043120 its reverse (21340020504), we get a palindrome (426360063624).

The spelling of 405020043120 in words is "four hundred five billion, twenty million, forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 21916669 43833338 65750007 87666676 109583345 131500014 153416683 175333352 219166690 241083359 263000028 306833366 328750035 350666704 438333380 460250049 482166718 526000056 613666732 657500070 723250077 767083415 876666760 920500098 964333436 1052000112 1205416795 1227333464 1315000140 1446500154 1534166830 1687583513 1753333520 1841000196 1928666872 2301250245 2410833590 2454666928 2630000280 2893000308 3068333660 3375167026 3616250385 3682000392 3857333744 4602500490 4821667180 5062750539 5260000560 5786000616 6136667320 6750334052 7232500770 7364000784 8437917565 9205000980 9643334360 10125501078 11572001232 12273334640 13500668104 14465001540 16875835130 18410001960 19286668720 20251002156 25313752695 27001336208 28930003080 33751670260 36820003920 40502004312 50627505390 57860006160 67503340520 81004008624 101255010780 135006681040 202510021560 405020043120