Search a number
-
+
342040552423440 = 243513839130665533
BaseRepresentation
bin100110111000101011000010…
…1101000000100000000010000
31122212001202110012021000010120
41031301112011220010000100
5324312443022410022230
63211243132140430240
7132021420514126503
oct11561260550040020
91585052405230116
10342040552423440
1199a91646956312
1232441900b48380
13118b1393894770
146066bcb48d13a
1529823d67b1310
hex1371585a04010

342040552423440 has 160 divisors (see below), whose sum is σ = 1143250249800960. Its totient is φ = 84094245746688.

The previous prime is 342040552423411. The next prime is 342040552423441. The reversal of 342040552423440 is 44324255040243.

It is a super-2 number, since 2×3420405524234402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342040552423392 and 342040552423401.

It is not an unprimeable number, because it can be changed into a prime (342040552423441) 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, 62715087 + ... + 67950446.

It is an arithmetic number, because the mean of its divisors is an integer number (7145314061256).

Almost surely, 2342040552423440 is an apocalyptic number.

342040552423440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342040552423440 is an abundant number, since it is smaller than the sum of its proper divisors (801209697377520).

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

342040552423440 is a wasteful number, since it uses less digits than its factorization.

342040552423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130666401 (or 130666395 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 42.

The spelling of 342040552423440 in words is "three hundred forty-two trillion, forty billion, five hundred fifty-two million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 839 1040 1560 1678 2517 3120 3356 4195 5034 6712 8390 10068 10907 12585 13424 16780 20136 21814 25170 32721 33560 40272 43628 50340 54535 65442 67120 87256 100680 109070 130884 163605 174512 201360 218140 261768 327210 436280 523536 654420 872560 1308840 2617680 130665533 261331066 391996599 522662132 653327665 783993198 1045324264 1306655330 1567986396 1698651929 1959982995 2090648528 2613310660 3135972792 3397303858 3919965990 5095955787 5226621320 6271945584 6794607716 7839931980 8493259645 10191911574 10453242640 13589215432 15679863960 16986519290 20383823148 25479778935 27178430864 31359727920 33973038580 40767646296 50959557870 67946077160 81535292592 101919115740 109628382187 135892154320 203838231480 219256764374 328885146561 407676462960 438513528748 548141910935 657770293122 877027057496 1096283821870 1315540586244 1425168968431 1644425732805 1754054114992 2192567643740 2631081172488 2850337936862 3288851465610 4275506905293 4385135287480 5262162344976 5700675873724 6577702931220 7125844842155 8551013810586 8770270574960 11401351747448 13155405862440 14251689684310 17102027621172 21377534526465 22802703494896 26310811724880 28503379368620 34204055242344 42755069052930 57006758737240 68408110484688 85510138105860 114013517474480 171020276211720 342040552423440