Search a number
-
+
414320204130 = 235721016327733
BaseRepresentation
bin1100000011101110110…
…10001001100101100010
31110121102200120010001120
412001313122021211202
523242011433013010
6514200331513110
741635145425200
oct6016732114542
91417380503046
10414320204130
1114a791a54748
126836abb8796
13300bb3a0301
14160a5dcc070
15ab9dbcbe70
hex6077689962

414320204130 has 96 divisors (see below), whose sum is σ = 1156869895104. Its totient is φ = 94689028224.

The previous prime is 414320204117. The next prime is 414320204147. The reversal of 414320204130 is 31402023414.

It is a super-2 number, since 2×4143202041302 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414320204130.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14925744 + ... + 14953476.

It is an arithmetic number, because the mean of its divisors is an integer number (12050728074).

Almost surely, 2414320204130 is an apocalyptic number.

414320204130 is an abundant number, since it is smaller than the sum of its proper divisors (742549690974).

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

414320204130 is a wasteful number, since it uses less digits than its factorization.

414320204130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37920 (or 37913 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 414320204130 its reverse (31402023414), we get a palindrome (445722227544).

The spelling of 414320204130 in words is "four hundred fourteen billion, three hundred twenty million, two hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 10163 20326 27733 30489 50815 55466 60978 71141 83199 101630 138665 142282 152445 166398 194131 213423 277330 304890 355705 388262 415995 426846 497987 582393 711410 831990 970655 995974 1067115 1164786 1358917 1493961 1941310 2134230 2489935 2717834 2911965 2987922 4076751 4979870 5823930 6794585 7469805 8153502 13589170 14939610 20383755 40767510 281850479 563700958 845551437 1409252395 1691102874 1972953353 2818504790 3945906706 4227757185 5918860059 8455514370 9864766765 11837720118 13810673471 19729533530 27621346942 29594300295 41432020413 59188600590 69053367355 82864040826 138106734710 207160102065 414320204130