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144944541696 = 212337931123
BaseRepresentation
bin1000011011111101011…
…1100011000000000000
3111212010102201121211010
42012333113203000000
54333321300313241
6150330412320520
713320601163523
oct2067727430000
9455112647733
10144944541696
115651a462539
1224111773140
131088c0a3c06
1470301b4bba
153b84d70d16
hex21bf5e3000

144944541696 has 104 divisors (see below), whose sum is σ = 387503759680. Its totient is φ = 48185819136.

The previous prime is 144944541661. The next prime is 144944541701. The reversal of 144944541696 is 696145449441.

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, 4641591 + ... + 4672713.

Almost surely, 2144944541696 is an apocalyptic number.

144944541696 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 144944541696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193751879840).

144944541696 is an abundant number, since it is smaller than the sum of its proper divisors (242559217984).

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

144944541696 is an equidigital number, since it uses as much as digits as its factorization.

144944541696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31529 (or 31507 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 57.

The spelling of 144944541696 in words is "one hundred forty-four billion, nine hundred forty-four million, five hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 379 384 512 758 768 1024 1137 1516 1536 2048 2274 3032 3072 4096 4548 6064 6144 9096 12128 12288 18192 24256 31123 36384 48512 62246 72768 93369 97024 124492 145536 186738 194048 248984 291072 373476 388096 497968 582144 746952 776192 995936 1164288 1493904 1552384 1991872 2328576 2987808 3983744 4657152 5975616 7967488 11795617 11951232 15934976 23591234 23902464 31869952 35386851 47182468 47804928 63739904 70773702 94364936 95609856 127479808 141547404 188729872 191219712 283094808 377459744 382439424 566189616 754919488 1132379232 1509838976 2264758464 3019677952 4529516928 6039355904 9059033856 12078711808 18118067712 24157423616 36236135424 48314847232 72472270848 144944541696