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402440200120 = 235729181273821
BaseRepresentation
bin1011101101100110100…
…11100001111110111000
31102110202202020101021001
411312303103201332320
523043144142400440
6504513430054344
741034562155040
oct5666323417670
91373682211231
10402440200120
11145746001912
1265bb44aa3b4
132bc4706093a
141569a2c8720
15a705c60b9a
hex5db34e1fb8

402440200120 has 128 divisors (see below), whose sum is σ = 1076449046400. Its totient is φ = 132485068800.

The previous prime is 402440200081. The next prime is 402440200121. The reversal of 402440200120 is 21002044204.

It is a super-2 number, since 2×4024402001202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402440200121) 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 31 ways as a sum of consecutive naturals, for example, 1332810 + ... + 1606630.

It is an arithmetic number, because the mean of its divisors is an integer number (8409758175).

Almost surely, 2402440200120 is an apocalyptic number.

402440200120 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 402440200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538224523200).

402440200120 is an abundant number, since it is smaller than the sum of its proper divisors (674008846280).

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

402440200120 is a wasteful number, since it uses less digits than its factorization.

402440200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274049 (or 274045 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 402440200120 its reverse (21002044204), we get a palindrome (423442244324).

The spelling of 402440200120 in words is "four hundred two billion, four hundred forty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 181 203 232 280 290 362 406 580 724 812 905 1015 1160 1267 1448 1624 1810 2030 2534 3620 4060 5068 5249 6335 7240 8120 10136 10498 12670 20996 25340 26245 36743 41992 50680 52490 73486 104980 146972 183715 209960 273821 293944 367430 547642 734860 1095284 1369105 1469720 1916747 2190568 2738210 3833494 5476420 7666988 7940809 9583735 10952840 15333976 15881618 19167470 31763236 38334940 39704045 49561601 55585663 63526472 76669880 79408090 99123202 111171326 158816180 198246404 222342652 247808005 277928315 317632360 346931207 396492808 444685304 495616010 555856630 693862414 991232020 1111713260 1387724828 1437286429 1734656035 1982464040 2223426520 2775449656 2874572858 3469312070 5749145716 6938624140 7186432145 10061005003 11498291432 13877248280 14372864290 20122010006 28745728580 40244020012 50305025015 57491457160 80488040024 100610050030 201220100060 402440200120