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401405024202 = 237132317178397
BaseRepresentation
bin1011101011101011001…
…10101001011111001010
31102101002121100222212020
411311311212221133022
523034034141233302
6504223010425310
741000122260330
oct5656546513712
91371077328766
10401405024202
11145264742926
1265965892236
132bb10758900
14155dca21b50
15a694e31ebc
hex5d759a97ca

401405024202 has 96 divisors (see below), whose sum is σ = 996642548352. Its totient is φ = 105530510592.

The previous prime is 401405024197. The next prime is 401405024203. The reversal of 401405024202 is 202420504104.

It is a happy number.

It is a super-2 number, since 2×4014050242022 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401405024203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2160868 + ... + 2339264.

It is an arithmetic number, because the mean of its divisors is an integer number (10381693212).

Almost surely, 2401405024202 is an apocalyptic number.

401405024202 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 401405024202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498321274176).

401405024202 is an abundant number, since it is smaller than the sum of its proper divisors (595237524150).

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

401405024202 is a wasteful number, since it uses less digits than its factorization.

401405024202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178752 (or 178739 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 401405024202 its reverse (202420504104), we get a palindrome (603825528306).

The spelling of 401405024202 in words is "four hundred one billion, four hundred five million, twenty-four thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 317 338 507 546 634 951 1014 1183 1902 2219 2366 3549 4121 4438 6657 7098 8242 12363 13314 24726 28847 53573 57694 86541 107146 160719 173082 178397 321438 356794 375011 535191 750022 1070382 1125033 1248779 2250066 2319161 2497558 3746337 4638322 6957483 7492674 13914966 16234127 30149093 32468254 48702381 56551849 60298186 90447279 97404762 113103698 169655547 180894558 211043651 339311094 395862943 422087302 633130953 735174037 791725886 1187588829 1266261906 1470348074 2205522111 2375177658 4411044222 5146218259 9557262481 10292436518 15438654777 19114524962 28671787443 30877309554 57343574886 66900837367 133801674734 200702512101 401405024202