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400340142114320 = 24531202779638617
BaseRepresentation
bin101101100000110110111001…
…1111101011100011000010000
31221111111010212211122211120202
41123001231303331130120100
5404433133102340124240
63535241420004554332
7150216422633123162
oct13301556375343020
91844433784584522
10400340142114320
11106619334417591
1238a987276b29a8
131424cbb49c9715
1470c07cdb8c932
153143b749e7315
hex16c1b73f5c610

400340142114320 has 80 divisors (see below), whose sum is σ = 961290362193408. Its totient is φ = 154893922575360.

The previous prime is 400340142114317. The next prime is 400340142114403. The reversal of 400340142114320 is 23411241043004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4003401421143202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34792349 + ... + 44846268.

Almost surely, 2400340142114320 is an apocalyptic number.

400340142114320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400340142114320 is an abundant number, since it is smaller than the sum of its proper divisors (560950220079088).

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

400340142114320 is a wasteful number, since it uses less digits than its factorization.

400340142114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79640688 (or 79640682 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 400340142114320 its reverse (23411241043004), we get a palindrome (423751383157324).

The spelling of 400340142114320 in words is "four hundred trillion, three hundred forty billion, one hundred forty-two million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2027 2480 4054 8108 10135 16216 20270 32432 40540 62837 81080 125674 162160 251348 314185 502696 628370 1005392 1256740 2513480 5026960 79638617 159277234 318554468 398193085 637108936 796386170 1274217872 1592772340 2468797127 3185544680 4937594254 6371089360 9875188508 12343985635 19750377016 24687971270 39500754032 49375942540 98751885080 161427476659 197503770160 322854953318 645709906636 807137383295 1291419813272 1614274766590 2582839626544 3228549533180 5004251776429 6457099066360 10008503552858 12914198132720 20017007105716 25021258882145 40034014211432 50042517764290 80068028422864 100085035528580 200170071057160 400340142114320