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14205002031616 = 291123940126317
BaseRepresentation
bin1100111010110101110000…
…0110011010001000000000
31212021222121000102011200011
43032231130012122020000
53330213321010002431
650113404324034304
72664164123023114
oct316553406321000
955258530364604
1014205002031616
114587342361210
121715036532994
137c06ab663636
143717509bd744
1519978857acb1
hexceb5c19a200

14205002031616 has 160 divisors (see below), whose sum is σ = 31170736016640. Its totient is φ = 6413524992000.

The previous prime is 14205002031607. The next prime is 14205002031629. The reversal of 14205002031616 is 61613020050241.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539752090 + ... + 539778406.

It is an arithmetic number, because the mean of its divisors is an integer number (194817100104).

Almost surely, 214205002031616 is an apocalyptic number.

14205002031616 is a gapful number since it is divisible by the number (16) 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 14205002031616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15585368008320).

14205002031616 is an abundant number, since it is smaller than the sum of its proper divisors (16965733985024).

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

14205002031616 is a wasteful number, since it uses less digits than its factorization.

14205002031616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26986 (or 26970 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 14205002031616 its reverse (61613020050241), we get a palindrome (75818022081857).

The spelling of 14205002031616 in words is "fourteen trillion, two hundred five billion, two million, thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 239 256 352 401 478 512 704 802 956 1408 1604 1912 2629 2816 3208 3824 4411 5258 5632 6416 7648 8822 10516 12832 15296 17644 21032 25664 26317 30592 35288 42064 51328 52634 61184 70576 84128 95839 102656 105268 122368 141152 168256 191678 205312 210536 282304 289487 336512 383356 421072 564608 578974 673024 766712 842144 1054229 1129216 1157948 1346048 1533424 1684288 2108458 2258432 2315896 3066848 3368576 4216916 4631792 6133696 6289763 6737152 8433832 9263584 10553117 12267392 12579526 13474304 16867664 18527168 21106234 24534784 25159052 33735328 37054336 42212468 49069568 50318104 67470656 69187393 74108672 84424936 100636208 116084287 134941312 138374786 148217344 168849872 201272416 232168574 269882624 276749572 337699744 402544832 464337148 539765248 553499144 675399488 805089664 928674296 1106998288 1350798976 1610179328 1857348592 2213996576 2522194963 2701597952 3220358656 3714697184 4427993152 5044389926 5403195904 7429394368 8855986304 10088779852 14858788736 17711972608 20177559704 27744144593 29717577472 35423945216 40355119408 55488289186 59435154944 80710238816 110976578372 161420477632 221953156744 322840955264 443906313488 645681910528 887812626976 1291363821056 1775625253952 3551250507904 7102501015808 14205002031616