Search a number
-
+
401011341560145 = 33541920273497479
BaseRepresentation
bin101101100101101111011101…
…0100100001000100101010001
31221120212022100212211111022000
41123023132322210020211101
5410030132211414411040
63540514022254304213
7150316053606230361
oct13313367244104521
91846768325744260
10401011341560145
11106857a55a6a598
1238b86826ab8069
131429b290430714
1471050a40729a1
15315635a402130
hex16cb7ba908951

401011341560145 has 64 divisors (see below), whose sum is σ = 714963255552000. Its totient is φ = 213256958321088.

The previous prime is 401011341560131. The next prime is 401011341560183. The reversal of 401011341560145 is 541065143110104.

401011341560145 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 1 + 1 + 3 + 4 + 1 + 5 + 601 + 45 = 666.

It is not a de Polignac number, because 401011341560145 - 25 = 401011341560113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112908516 + ... + 116405994.

It is an arithmetic number, because the mean of its divisors is an integer number (11171300868000).

Almost surely, 2401011341560145 is an apocalyptic number.

401011341560145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401011341560145 is a deficient number, since it is larger than the sum of its proper divisors (313951913991855).

401011341560145 is a wasteful number, since it uses less digits than its factorization.

401011341560145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499939 (or 3499933 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 401011341560145 its reverse (541065143110104), we get a palindrome (942076484670249).

The spelling of 401011341560145 in words is "four hundred one trillion, eleven billion, three hundred forty-one million, five hundred sixty thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 419 1257 2027 2095 3771 6081 6285 10135 11313 18243 18855 30405 54729 56565 91215 273645 849313 2547939 3497479 4246565 7643817 10492437 12739695 17487395 22931451 31477311 38219085 52462185 94431933 114657255 157386555 472159665 1465443701 4396331103 7089389933 7327218505 13188993309 21268169799 21981655515 35446949665 39566979927 63804509397 65944966545 106340848995 191413528191 197834899635 319022546985 957067640955 2970454381927 8911363145781 14852271909635 26734089437343 44556815728905 80202268312029 133670447186715 401011341560145