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147742647120 = 24325205198121
BaseRepresentation
bin1000100110011000100…
…1011110001101010000
3112010100102212002212100
42021212021132031100
54410034104201440
6151512205400400
713450125531345
oct2114611361520
9463312762770
10147742647120
1157725966562
1224772869100
1310c169b99b3
147217a647cc
153c9a834230
hex226625e350

147742647120 has 60 divisors (see below), whose sum is σ = 496169058996. Its totient is φ = 39398039040.

The previous prime is 147742647103. The next prime is 147742647137. The reversal of 147742647120 is 21746247741.

It is an interprime number because it is at equal distance from previous prime (147742647103) and next prime (147742647137).

It can be written as a sum of positive squares in 2 ways, for example, as 90728668944 + 57013978176 = 301212^2 + 238776^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102598341 + ... + 102599780.

Almost surely, 2147742647120 is an apocalyptic number.

147742647120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147742647120 is an abundant number, since it is smaller than the sum of its proper divisors (348426411876).

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

147742647120 is a wasteful number, since it uses less digits than its factorization.

147742647120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205198140 (or 205198131 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 147742647120 in words is "one hundred forty-seven billion, seven hundred forty-two million, six hundred forty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 205198121 410396242 615594363 820792484 1025990605 1231188726 1641584968 1846783089 2051981210 2462377452 3077971815 3283169936 3693566178 4103962420 4924754904 6155943630 7387132356 8207924840 9233915445 9849509808 12311887260 14774264712 16415849680 18467830890 24623774520 29548529424 36935661780 49247549040 73871323560 147742647120