Search a number
-
+
146140127768 = 231719423113367
BaseRepresentation
bin1000100000011010100…
…0010110001000011000
3111222012202102200120202
42020012220112020120
54343243333042033
6151045202041332
713362326406305
oct2100650261030
9458182380522
10146140127768
1156a83323aa8
12243a6049248
1310a1c9b12ab
147104cb60ac
153c04cd88e8
hex2206a16218

146140127768 has 64 divisors (see below), whose sum is σ = 305496230400. Its totient is φ = 65131983360.

The previous prime is 146140127759. The next prime is 146140127797. The reversal of 146140127768 is 867721041641.

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, 10926221 + ... + 10939587.

It is an arithmetic number, because the mean of its divisors is an integer number (4773378600).

Almost surely, 2146140127768 is an apocalyptic number.

It is an amenable number.

146140127768 is an abundant number, since it is smaller than the sum of its proper divisors (159356102632).

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

146140127768 is a wasteful number, since it uses less digits than its factorization.

146140127768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17640 (or 17636 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 146140127768 in words is "one hundred forty-six billion, one hundred forty million, one hundred twenty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 17 19 34 38 68 76 136 152 323 646 1292 2584 4231 8462 13367 16924 26734 33848 53468 71927 80389 106936 143854 160778 227239 253973 287708 321556 454478 507946 575416 643112 908956 1015892 1366613 1817912 2031784 2733226 4317541 5466452 8635082 10932904 17270164 34540328 56555777 113111554 226223108 452446216 961448209 1074559763 1922896418 2149119526 3845792836 4298239052 7691585672 8596478104 18267515971 36535031942 73070063884 146140127768