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401121504240 = 243514811128521
BaseRepresentation
bin1011101011001001011…
…01000110101111110000
31102100100211212200120220
411311210231012233300
523032444101113430
6504134521533040
740660110346452
oct5654455065760
91370324780526
10401121504240
111451296a5106
12658a6944180
132ba96aab012
14155b30dc2d2
15a67a0cb110
hex5d64b46bf0

401121504240 has 80 divisors (see below), whose sum is σ = 1244317385376. Its totient is φ = 106893414400.

The previous prime is 401121504229. The next prime is 401121504263. The reversal of 401121504240 is 42405121104.

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

It is a super-2 number, since 2×4011215042402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 401121504240.

It is a congruent number.

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, 208821 + ... + 919700.

Almost surely, 2401121504240 is an apocalyptic number.

401121504240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401121504240 is an abundant number, since it is smaller than the sum of its proper divisors (843195881136).

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

401121504240 is a wasteful number, since it uses less digits than its factorization.

401121504240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130018 (or 1130012 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 401121504240 its reverse (42405121104), we get a palindrome (443526625344).

The spelling of 401121504240 in words is "four hundred one billion, one hundred twenty-one million, five hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1481 2962 4443 5924 7405 8886 11848 14810 17772 22215 23696 29620 35544 44430 59240 71088 88860 118480 177720 355440 1128521 2257042 3385563 4514084 5642605 6771126 9028168 11285210 13542252 16927815 18056336 22570420 27084504 33855630 45140840 54169008 67711260 90281680 135422520 270845040 1671339601 3342679202 5014018803 6685358404 8356698005 10028037606 13370716808 16713396010 20056075212 25070094015 26741433616 33426792020 40112150424 50140188030 66853584040 80224300848 100280376060 133707168080 200560752120 401121504240