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4157353140 = 22351915124151
BaseRepresentation
bin1111011111001100…
…0010110010110100
3101201201210102101020
43313303002302310
532003240300030
61524310301140
7205010630043
oct36763026264
911651712336
104157353140
111843798a46
129803577b0
135133c6495
142b61d455a
15194ea8510
hexf7cc2cb4

4157353140 has 96 divisors (see below), whose sum is σ = 12334909440. Its totient is φ = 1043280000.

The previous prime is 4157353129. The next prime is 4157353141. The reversal of 4157353140 is 413537514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157353141) 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, 160065 + ... + 184215.

It is an arithmetic number, because the mean of its divisors is an integer number (128488640).

Almost surely, 24157353140 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 4157353140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167454720).

4157353140 is an abundant number, since it is smaller than the sum of its proper divisors (8177556300).

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

4157353140 is a wasteful number, since it uses less digits than its factorization.

4157353140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24333 (or 24331 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 4157353140 is about 64477.5398103867. The cubic root of 4157353140 is about 1607.9491317662.

The spelling of 4157353140 in words is "four billion, one hundred fifty-seven million, three hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 151 190 228 285 302 380 453 570 604 755 906 1140 1510 1812 2265 2869 3020 4530 5738 8607 9060 11476 14345 17214 24151 28690 34428 43035 48302 57380 72453 86070 96604 120755 144906 172140 241510 289812 362265 458869 483020 724530 917738 1376607 1449060 1835476 2294345 2753214 3646801 4588690 5506428 6883035 7293602 9177380 10940403 13766070 14587204 18234005 21880806 27532140 36468010 43761612 54702015 69289219 72936020 109404030 138578438 207867657 218808060 277156876 346446095 415735314 692892190 831470628 1039338285 1385784380 2078676570 4157353140