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144433023435020 = 22517236596829301
BaseRepresentation
bin100000110101110001101111…
…000011100100000100001100
3200221101122212201220221001002
4200311301233003210010030
5122412342312444410040
61231103340500035432
742264640651541345
oct4065615703440414
9627348781827032
10144433023435020
1142025779405771
1214248107392b78
136278c8b70a858
14279484a5c10cc
1511a707b13ba15
hex835c6f0e410c

144433023435020 has 72 divisors (see below), whose sum is σ = 322288693156080. Its totient is φ = 54359916774400.

The previous prime is 144433023434989. The next prime is 144433023435031. The reversal of 144433023435020 is 20534320334441.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17734370 + ... + 24563670.

It is an arithmetic number, because the mean of its divisors is an integer number (4476231849390).

Almost surely, 2144433023435020 is an apocalyptic number.

144433023435020 is a gapful number since it is divisible by the number (10) 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 144433023435020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161144346578040).

144433023435020 is an abundant number, since it is smaller than the sum of its proper divisors (177855669721060).

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

144433023435020 is a wasteful number, since it uses less digits than its factorization.

144433023435020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6833003 (or 6832984 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 38.

Adding to 144433023435020 its reverse (20534320334441), we get a palindrome (164967343769461).

The spelling of 144433023435020 in words is "one hundred forty-four trillion, four hundred thirty-three billion, twenty-three million, four hundred thirty-five thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 3659 5780 7318 14636 18295 36590 62203 73180 124406 248812 311015 622030 1057451 1244060 2114902 4229804 5287255 6829301 10574510 13658602 21149020 27317204 34146505 68293010 116098117 136586020 232196234 464392468 580490585 1160981170 1973667989 2321962340 3947335978 7894671956 9868339945 19736679890 24988412359 39473359780 49976824718 99953649436 124942061795 249884123590 424803010103 499768247180 849606020206 1699212040412 2124015050515 4248030101030 7221651171751 8496060202060 14443302343502 28886604687004 36108255858755 72216511717510 144433023435020