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140737488521216 = 211891027375161
BaseRepresentation
bin100000000000000000000000…
…000000101000100000000000
3200110022101001120000010121212
4200000000000000220200000
5121421320334030134331
61215153524253305252
741433643110215606
oct4000000000504000
9613271046003555
10140737488521216
1140930485284784
121394ba50195228
13606b646811a72
1426a7a33401876
151140d89833d2b
hex800000028800

140737488521216 has 96 divisors (see below), whose sum is σ = 284599612697400. Its totient is φ = 69570385674240.

The previous prime is 140737488521191. The next prime is 140737488521257. The reversal of 140737488521216 is 612125884737041.

It can be written as a sum of positive squares in 4 ways, for example, as 70373576098816 + 70363912422400 = 8388896^2 + 8388320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1872442676 + ... + 1872517836.

Almost surely, 2140737488521216 is an apocalyptic number.

140737488521216 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 140737488521216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142299806348700).

140737488521216 is an abundant number, since it is smaller than the sum of its proper divisors (143862124176184).

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

140737488521216 is an equidigital number, since it uses as much as digits as its factorization.

140737488521216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85545 (or 85525 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 59.

The spelling of 140737488521216 in words is "one hundred forty trillion, seven hundred thirty-seven billion, four hundred eighty-eight million, five hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 712 1024 1424 2048 2848 5696 10273 11392 20546 22784 41092 45568 75161 82184 91136 150322 164368 182272 300644 328736 601288 657472 914297 1202576 1314944 1828594 2405152 2629888 3657188 4810304 5259776 6689329 7314376 9620608 10519552 13378658 14628752 19241216 21039104 26757316 29257504 38482432 53514632 58515008 76964864 107029264 117030016 153929728 214058528 234060032 428117056 468120064 772128953 856234112 936240128 1544257906 1712468224 1872480256 3088515812 3424936448 6177031624 6849872896 12354063248 13699745792 24708126496 49416252992 68719476817 98832505984 137438953634 197665011968 274877907268 395330023936 549755814536 790660047872 1099511629072 1581320095744 2199023258144 4398046516288 8796093032576 17592186065152 35184372130304 70368744260608 140737488521216