Search a number
-
+
4242143140040 = 23513311202712941
BaseRepresentation
bin111101101110110011011…
…011110101100011001000
3120000112201020201201101002
4331232303123311203020
51024000402120440130
613004451425514132
7615325155511451
oct75566333654310
916015636651332
104242143140040
1113960a0234723
125861a51a2948
1324a0561b0b60
1410946c4a8128
1575534150b45
hex3dbb36f58c8

4242143140040 has 128 divisors (see below), whose sum is σ = 10317975333120. Its totient is φ = 1560402508800.

The previous prime is 4242143140009. The next prime is 4242143140091. The reversal of 4242143140040 is 400413412424.

It is a junction number, because it is equal to n+sod(n) for n = 4242143139985 and 4242143140012.

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, 327799970 + ... + 327812910.

It is an arithmetic number, because the mean of its divisors is an integer number (80609182290).

Almost surely, 24242143140040 is an apocalyptic number.

4242143140040 is a gapful number since it is divisible by the number (40) 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 4242143140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158987666560).

4242143140040 is an abundant number, since it is smaller than the sum of its proper divisors (6075832193080).

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

4242143140040 is a wasteful number, since it uses less digits than its factorization.

4242143140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15303 (or 15299 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4242143140040 its reverse (400413412424), we get a palindrome (4642556552464).

The spelling of 4242143140040 in words is "four trillion, two hundred forty-two billion, one hundred forty-three million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 311 520 622 1244 1555 2027 2488 3110 4043 4054 6220 8086 8108 10135 12440 12941 16172 16216 20215 20270 25882 26351 32344 40430 40540 51764 52702 64705 80860 81080 103528 105404 129410 131755 161720 168233 210808 258820 263510 336466 517640 527020 630397 672932 841165 1054040 1260794 1345864 1682330 2521588 3151985 3364660 4024651 5043176 6303970 6729320 8049302 8195161 12607940 16098604 16390322 20123255 25215880 26231407 32197208 32780644 40246510 40975805 52320463 52462814 65561288 80493020 81951610 104640926 104925628 131157035 160986040 163903220 209281852 209851256 261602315 262314070 327806440 341008291 418563704 523204630 524628140 682016582 1046409260 1049256280 1364033164 1705041455 2092818520 2728066328 3410082910 6820165820 8157967577 13640331640 16315935154 32631870308 40789837885 65263740616 81579675770 106053578501 163159351540 212107157002 326318703080 424214314004 530267892505 848428628008 1060535785010 2121071570020 4242143140040