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148067744344 = 231319234132009
BaseRepresentation
bin1000100111100110000…
…1100111101001011000
3112011012002120202102021
42021321201213221120
54411220320304334
6152004341344224
713461154026562
oct2117141475130
9464162522367
10148067744344
1157882421953
1224843708074
1310c69164010
147248ccc332
153cb914e3b4
hex2279867a58

148067744344 has 64 divisors (see below), whose sum is σ = 314863164000. Its totient is φ = 64712494080.

The previous prime is 148067744281. The next prime is 148067744353. The reversal of 148067744344 is 443447760841.

148067744344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 148067744291 and 148067744300.

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, 4609812 + ... + 4641820.

Almost surely, 2148067744344 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 148067744344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157431582000).

148067744344 is an abundant number, since it is smaller than the sum of its proper divisors (166795419656).

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

148067744344 is a wasteful number, since it uses less digits than its factorization.

148067744344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34388 (or 34384 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 52.

The spelling of 148067744344 in words is "one hundred forty-eight billion, sixty-seven million, seven hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 988 1976 2341 4682 9364 18728 30433 32009 44479 60866 64018 88958 121732 128036 177916 243464 256072 355832 416117 578227 608171 832234 1156454 1216342 1664468 2312908 2432684 3328936 4625816 4865368 7906223 15812446 31624892 63249784 74933069 149866138 299732276 599464552 974129897 1423728311 1948259794 2847456622 3896519588 5694913244 7793039176 11389826488 18508468043 37016936086 74033872172 148067744344