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149222441340 = 223257314193179
BaseRepresentation
bin1000101011111001011…
…0011100000101111100
3112021011120100102220200
42022332112130011330
54421101421110330
6152315110443500
713531604552250
oct2127626340574
9467146312820
10149222441340
11583151a5895
1224b06363590
13110c1455c8b
1473183c8260
153d356dba60
hex22be59c17c

149222441340 has 288 divisors, whose sum is σ = 547021762560. Its totient is φ = 32202316800.

The previous prime is 149222441321. The next prime is 149222441353. The reversal of 149222441340 is 43144222941.

149222441340 is a `hidden beast` number, since 1 + 4 + 92 + 224 + 4 + 1 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 149222441295 and 149222441304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1554871 + ... + 1648049.

It is an arithmetic number, because the mean of its divisors is an integer number (1899381120).

Almost surely, 2149222441340 is an apocalyptic number.

149222441340 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 149222441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273510881280).

149222441340 is an abundant number, since it is smaller than the sum of its proper divisors (397799321220).

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

149222441340 is a wasteful number, since it uses less digits than its factorization.

149222441340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93273 (or 93268 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 149222441340 in words is "one hundred forty-nine billion, two hundred twenty-two million, four hundred forty-one thousand, three hundred forty".