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144300142401402 = 231321013833678821
BaseRepresentation
bin100000110011110101111110…
…101110101001011101111010
3200220220221220000211000021110
4200303311332232221131322
5122403203142423321102
61230522323102221150
742252225022436151
oct4063657656513572
9626827800730243
10144300142401402
1141a8438a541419
12142264018847b6
1362695a29a6100
14278c24263a598
1511a38a03d386c
hex833d7eba977a

144300142401402 has 96 divisors (see below), whose sum is σ = 316426251810816. Its totient is φ = 43845648288000.

The previous prime is 144300142401367. The next prime is 144300142401433. The reversal of 144300142401402 is 204104241003441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144300142401402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37385152 + ... + 41063972.

It is an arithmetic number, because the mean of its divisors is an integer number (3296106789696).

Almost surely, 2144300142401402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144300142401402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158213125905408).

144300142401402 is an abundant number, since it is smaller than the sum of its proper divisors (172126109409414).

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

144300142401402 is a wasteful number, since it uses less digits than its factorization.

144300142401402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679336 (or 3679323 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 144300142401402 its reverse (204104241003441), we get a palindrome (348404383404843).

The spelling of 144300142401402 in words is "one hundred forty-four trillion, three hundred billion, one hundred forty-two million, four hundred one thousand, four hundred two".

Divisors: 1 2 3 6 13 26 39 78 101 169 202 303 338 383 507 606 766 1014 1149 1313 2298 2626 3939 4979 7878 9958 14937 17069 29874 34138 38683 51207 64727 77366 102414 116049 129454 194181 232098 388362 502879 1005758 1508637 3017274 3678821 6537427 7357642 11036463 13074854 19612281 22072926 39224562 47824673 95649346 143474019 286948038 371560921 621720749 743121842 1114682763 1243441498 1408988443 1865162247 2229365526 2817976886 3730324494 4226965329 4830291973 8453930658 9660583946 14490875919 18316849759 28981751838 36633699518 54950549277 62793795649 109901098554 125587591298 142307832743 188381386947 238119046867 284615665486 376762773894 426923498229 476238093734 714357140601 853846996458 1428714281202 1850001825659 3700003651318 5550005476977 11100010953954 24050023733567 48100047467134 72150071200701 144300142401402