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402441401040 = 24357239548453
BaseRepresentation
bin1011101101100110110…
…00000111001011010000
31102110202211111101121120
411312303120013023100
523043144444313130
6504513511522240
741034605316210
oct5666330071320
91373684441546
10402441401040
11145746752108
1265bb4989380
132bc47391443
141569a51c240
15a705deb910
hex5db36072d0

402441401040 has 80 divisors (see below), whose sum is σ = 1425792398208. Its totient is φ = 91986605568.

The previous prime is 402441400997. The next prime is 402441401053. The reversal of 402441401040 is 40104144204.

It is a happy number.

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

It is a super-2 number, since 2×4024414010402 (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 402441401040.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 119772547 + ... + 119775906.

Almost surely, 2402441401040 is an apocalyptic number.

402441401040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402441401040 is an abundant number, since it is smaller than the sum of its proper divisors (1023350997168).

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

402441401040 is a wasteful number, since it uses less digits than its factorization.

402441401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239548476 (or 239548470 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 402441401040 its reverse (40104144204), we get a palindrome (442545545244).

The spelling of 402441401040 in words is "four hundred two billion, four hundred forty-one million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 239548453 479096906 718645359 958193812 1197742265 1437290718 1676839171 1916387624 2395484530 2874581436 3353678342 3593226795 3832775248 4790969060 5030517513 5749162872 6707356684 7186453590 8384195855 9581938120 10061035026 11498325744 13414713368 14372907180 16768391710 19163876240 20122070052 25152587565 26829426736 28745814360 33536783420 40244140104 50305175130 57491628720 67073566840 80488280208 100610350260 134147133680 201220700520 402441401040