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144310232400442 = 217232514191754699
BaseRepresentation
bin100000110011111111011000…
…001000111100001000111010
3200220221220221012221001212121
4200303333120020330020322
5122403334323443303232
61230531112222031454
742253033042141033
oct4063773010741072
9626856835831777
10144310232400442
1141a88698036aa9
1214228358a1858a
13626a520214c44
14278c91c709a8a
1511a3c9111cd97
hex833fd823c23a

144310232400442 has 64 divisors (see below), whose sum is σ = 240689812608000. Its totient is φ = 64544811232000.

The previous prime is 144310232400409. The next prime is 144310232400449. The reversal of 144310232400442 is 244004232013441.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 144310232400398 and 144310232400407.

It is not an unprimeable number, because it can be changed into a prime (144310232400449) 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, 81364809 + ... + 83119507.

It is an arithmetic number, because the mean of its divisors is an integer number (3760778322000).

Almost surely, 2144310232400442 is an apocalyptic number.

144310232400442 is a deficient number, since it is larger than the sum of its proper divisors (96379580207558).

144310232400442 is a wasteful number, since it uses less digits than its factorization.

144310232400442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755411.

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 144310232400442 its reverse (244004232013441), we get a palindrome (388314464413883).

The spelling of 144310232400442 in words is "one hundred forty-four trillion, three hundred ten billion, two hundred thirty-two million, four hundred thousand, four hundred forty-two".

Divisors: 1 2 17 23 34 46 251 391 419 502 782 838 4267 5773 7123 8534 9637 11546 14246 19274 98141 105169 163829 196282 210338 327658 1754699 1787873 2418887 3509398 3575746 4837774 29829883 40358077 41121079 59659766 80716154 82242158 440429449 686087309 735218881 880858898 1372174618 1470437762 7487300633 10129877327 12498720977 14974601266 16910034263 20259754654 24997441954 33820068526 172207914559 184539939131 287470582471 344415829118 369079878262 574941164942 3137178965227 4244418600013 6274357930454 8488837200026 72155116200221 144310232400442