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147719717440 = 26529531571913
BaseRepresentation
bin1000100110010011001…
…0000000001001000000
3112010021211201011020221
42021210302000021000
54410012221424230
6151510030112424
713446426611101
oct2114462001100
9463254634227
10147719717440
1157713a25109
122476704b714
1310c1201bc39
1472149b63a8
153c9880527a
hex2264c80240

147719717440 has 224 divisors, whose sum is σ = 373309469280. Its totient is φ = 55588356096.

The previous prime is 147719717437. The next prime is 147719717447. The reversal of 147719717440 is 44717917741.

It can be written as a sum of positive squares in 16 ways, for example, as 8005238784 + 139714478656 = 89472^2 + 373784^2 .

It is a super-2 number, since 2×1477197174402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (147719717447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77217924 + ... + 77219836.

Almost surely, 2147719717440 is an apocalyptic number.

147719717440 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 147719717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186654734640).

147719717440 is an abundant number, since it is smaller than the sum of its proper divisors (225589751840).

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

147719717440 is a wasteful number, since it uses less digits than its factorization.

147719717440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 52.

The spelling of 147719717440 in words is "one hundred forty-seven billion, seven hundred nineteen million, seven hundred seventeen thousand, four hundred forty".