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148386514000 = 2453167444271
BaseRepresentation
bin1000101000110010000…
…1101000010001010000
3112012000022101221011211
42022030201220101100
54412343421422000
6152100125545504
713502104362304
oct2121441502120
9465008357154
10148386514000
1157a2635624a
1224912415294
1310cba20420a
147279389d04
153cd71197ba
hex228c868450

148386514000 has 80 divisors (see below), whose sum is σ = 360947897856. Its totient is φ = 58999056000.

The previous prime is 148386513997. The next prime is 148386514027. The reversal of 148386514000 is 415683841.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 111865 + ... + 556135.

Almost surely, 2148386514000 is an apocalyptic number.

148386514000 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 148386514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180473948928).

148386514000 is an abundant number, since it is smaller than the sum of its proper divisors (212561383856).

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

148386514000 is a wasteful number, since it uses less digits than its factorization.

148386514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444461 (or 444445 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 148386514000 in words is "one hundred forty-eight billion, three hundred eighty-six million, five hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 167 200 250 334 400 500 668 835 1000 1336 1670 2000 2672 3340 4175 6680 8350 13360 16700 20875 33400 41750 66800 83500 167000 334000 444271 888542 1777084 2221355 3554168 4442710 7108336 8885420 11106775 17770840 22213550 35541680 44427100 55533875 74193257 88854200 111067750 148386514 177708400 222135500 296773028 370966285 444271000 593546056 741932570 888542000 1187092112 1483865140 1854831425 2967730280 3709662850 5935460560 7419325700 9274157125 14838651400 18548314250 29677302800 37096628500 74193257000 148386514000