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400252345240 = 235112347838269
BaseRepresentation
bin1011101001100001110…
…01100001101110011000
31102021010021101211120211
411310300321201232120
523024204100021430
6503512352500504
740626424541266
oct5646071415630
91367107354524
10400252345240
11144823018090
12656a384a734
132b9889c2357
141552d8cd436
15a628b4272a
hex5d30e61b98

400252345240 has 128 divisors (see below), whose sum is σ = 1025490585600. Its totient is φ = 139172267520.

The previous prime is 400252345223. The next prime is 400252345249. The reversal of 400252345240 is 42543252004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400252345249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48399826 + ... + 48408094.

It is an arithmetic number, because the mean of its divisors is an integer number (8011645200).

Almost surely, 2400252345240 is an apocalyptic number.

400252345240 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 400252345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512745292800).

400252345240 is an abundant number, since it is smaller than the sum of its proper divisors (625238240360).

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

400252345240 is a wasteful number, since it uses less digits than its factorization.

400252345240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13097 (or 13093 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

Adding to 400252345240 its reverse (42543252004), we get a palindrome (442795597244).

The spelling of 400252345240 in words is "four hundred billion, two hundred fifty-two million, three hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 4783 5060 8269 9566 10120 16538 19132 23915 33076 38264 41345 47830 52613 66152 82690 90959 95660 105226 110009 165380 181918 190187 191320 210452 220018 263065 330760 363836 380374 420904 440036 454795 526130 550045 727672 760748 880072 909590 950935 1052260 1100090 1210099 1521496 1819180 1901870 2092057 2104520 2200180 2420198 3638360 3803740 4184114 4400360 4840396 6050495 7607480 8368228 9680792 10460285 12100990 16736456 20920570 24201980 39550627 41841140 48403960 79101254 83682280 158202508 197753135 316405016 395506270 435056897 791012540 870113794 909664421 1582025080 1740227588 1819328842 2175284485 3480455176 3638657684 4350568970 4548322105 7277315368 8701137940 9096644210 10006308631 17402275880 18193288420 20012617262 36386576840 40025234524 50031543155 80050469048 100063086310 200126172620 400252345240