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4117017140 = 22511313713297
BaseRepresentation
bin1111010101100100…
…1011001000110100
3101121220220010210022
43311121023020310
531412424022030
61520305544312
7204011032265
oct36531131064
911556803708
104117017140
111822a48a05
1296a945098
13507c42a22
142b0ad496c
1519168bde5
hexf564b234

4117017140 has 48 divisors (see below), whose sum is σ = 8786573712. Its totient is φ = 1620197376.

The previous prime is 4117017137. The next prime is 4117017169. The reversal of 4117017140 is 417107114.

4117017140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1770389776 + 2346627364 = 42076^2 + 48442^2 .

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, 302972 + ... + 316268.

It is an arithmetic number, because the mean of its divisors is an integer number (183053619).

Almost surely, 24117017140 is an apocalyptic number.

It is an amenable number.

4117017140 is an abundant number, since it is smaller than the sum of its proper divisors (4669556572).

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

4117017140 is a wasteful number, since it uses less digits than its factorization.

4117017140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13556 (or 13554 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 4117017140 is about 64163.9863163130. The cubic root of 4117017140 is about 1602.7319394327.

The spelling of 4117017140 in words is "four billion, one hundred seventeen million, seventeen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 113 137 226 274 452 548 565 685 1130 1370 2260 2740 13297 15481 26594 30962 53188 61924 66485 77405 132970 154810 265940 309620 1502561 1821689 3005122 3643378 6010244 7286756 7512805 9108445 15025610 18216890 30051220 36433780 205850857 411701714 823403428 1029254285 2058508570 4117017140