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142321553240416 = 25116134603191551
BaseRepresentation
bin100000010111000011010001…
…100111111111000101100000
3200122220210210202020110211221
4200113003101213333011200
5122123244020112143131
61222405341405544424
741656251523163224
oct4027032147770540
9618823722213757
10142321553240416
1141391260541910
1213b66a54275114
136154b321c1864
1427205855a6784
15116c19be58411
hex8170d19ff160

142321553240416 has 96 divisors (see below), whose sum is σ = 310689430603776. Its totient is φ = 63628925760000.

The previous prime is 142321553240281. The next prime is 142321553240497. The reversal of 142321553240416 is 614042355123241.

It is a happy number.

It is a congruent 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, 742899841 + ... + 743091391.

It is an arithmetic number, because the mean of its divisors is an integer number (3236348235456).

Almost surely, 2142321553240416 is an apocalyptic number.

142321553240416 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 142321553240416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155344715301888).

142321553240416 is an abundant number, since it is smaller than the sum of its proper divisors (168367877363360).

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

142321553240416 is a wasteful number, since it uses less digits than its factorization.

142321553240416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226236 (or 226228 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 142321553240416 in words is "one hundred forty-two trillion, three hundred twenty-one billion, five hundred fifty-three million, two hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 976 1342 1952 2684 5368 10736 21472 34603 69206 138412 191551 276824 380633 383102 553648 761266 766204 1107296 1522532 1532408 2107061 2110783 3045064 3064816 4214122 4221566 6090128 6129632 8428244 8443132 11684611 12180256 16856488 16886264 23218613 23369222 33712976 33772528 46437226 46738444 67425952 67545056 92874452 93476888 128530721 185748904 186953776 257061442 371497808 373907552 514122884 742995616 1028245768 2056491536 4112983072 6628239253 13256478506 26512957012 53025914024 72910631783 106051828048 145821263566 212103656096 291642527132 404322594433 583285054264 808645188866 1166570108528 1617290377732 2333140217056 3234580755464 4447548538763 6469161510928 8895097077526 12938323021856 17790194155052 35580388310104 71160776620208 142321553240416