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145221116464 = 24193197158863
BaseRepresentation
bin1000011100111111011…
…0100110001000110000
3111212211201011002002001
42013033312212020300
54334403101211324
6150414052303344
713330500060124
oct2071766461060
9455751132061
10145221116464
1156651597226
122418a311b54
131090448c518
147058c0b584
153b9e2a3e44
hex21cfda6230

145221116464 has 80 divisors (see below), whose sum is σ = 308882452480. Its totient is φ = 65883248640.

The previous prime is 145221116461. The next prime is 145221116477. The reversal of 145221116464 is 464611122541.

It is not an unprimeable number, because it can be changed into a prime (145221116461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834697 + ... + 993559.

It is an arithmetic number, because the mean of its divisors is an integer number (3861030656).

Almost surely, 2145221116464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145221116464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441226240).

145221116464 is an abundant number, since it is smaller than the sum of its proper divisors (163661336016).

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

145221116464 is a wasteful number, since it uses less digits than its factorization.

145221116464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159018 (or 159012 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The spelling of 145221116464 in words is "one hundred forty-five billion, two hundred twenty-one million, one hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 31 38 62 76 97 124 152 194 248 304 388 496 589 776 1178 1552 1843 2356 3007 3686 4712 6014 7372 9424 12028 14744 24056 29488 48112 57133 114266 158863 228532 317726 457064 635452 914128 1270904 2541808 3018397 4924753 6036794 9849506 12073588 15409711 19699012 24147176 30819422 39398024 48294352 61638844 78796048 93570307 123277688 187140614 246555376 292784509 374281228 477701041 585569018 748562456 955402082 1171138036 1497124912 1910804164 2342276072 3821608328 4684552144 7643216656 9076319779 18152639558 36305279116 72610558232 145221116464