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402201004300431 = 371943180891295947
BaseRepresentation
bin101101101110011001011011…
…1111111010101100010001111
31221202002001002112011101210120
41123130302313333111202033
5410204130124100103211
63543224331323440023
7150501030553536120
oct13334626777254217
91852061075141716
10402201004300431
11107176540629436
12391392ba686013
13143565131b59ab
1471468bd726047
153177287810d06
hex16dccb7fd588f

402201004300431 has 64 divisors (see below), whose sum is σ = 660174572851200. Its totient is φ = 212657398361856.

The previous prime is 402201004300423. The next prime is 402201004300481. The reversal of 402201004300431 is 134003400102204.

It is not a de Polignac number, because 402201004300431 - 23 = 402201004300423 is a prime.

It is a super-2 number, since 2×4022010043004312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402201004300481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309705000 + ... + 311000946.

It is an arithmetic number, because the mean of its divisors is an integer number (10315227700800).

Almost surely, 2402201004300431 is an apocalyptic number.

402201004300431 is a deficient number, since it is larger than the sum of its proper divisors (257973568550769).

402201004300431 is a wasteful number, since it uses less digits than its factorization.

402201004300431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314108.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 402201004300431 its reverse (134003400102204), we get a palindrome (536204404402635).

The spelling of 402201004300431 in words is "four hundred two trillion, two hundred one billion, four million, three hundred thousand, four hundred thirty-one".

Divisors: 1 3 7 19 21 43 57 129 133 301 399 817 903 2451 5719 17157 18089 54267 126623 343691 379869 777827 1031073 1295947 2333481 2405837 3887841 5444789 7217511 9071629 14778713 16334367 24622993 27214887 44336139 55725721 73868979 103450991 167177163 172360951 310352973 390080047 517082853 1058788699 1170240141 3176366097 7411520893 22234562679 23442385283 70327155849 164096696981 445405320377 492290090943 1008022567169 1336215961131 3024067701507 3117837242639 7056157970183 9353511727917 19152428776211 21168473910549 57457286328633 134067001433477 402201004300431