Search a number
-
+
354541154440 = 235111942409229
BaseRepresentation
bin1010010100011000100…
…11001011000010001000
31020220010120201202011011
411022030103023002020
521302100013420230
6430512435213304
734420601042404
oct5121423130210
91226116652134
10354541154440
111273a6269950
1258867147234
1327582654265
1413234a12104
159350a70e2a
hex528c4cb088

354541154440 has 64 divisors (see below), whose sum is σ = 916039368000. Its totient is φ = 122138576640.

The previous prime is 354541154417. The next prime is 354541154489. The reversal of 354541154440 is 44451145453.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 354541154393 and 354541154402.

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, 21196255 + ... + 21212974.

It is an arithmetic number, because the mean of its divisors is an integer number (14313115125).

Almost surely, 2354541154440 is an apocalyptic number.

It is an amenable number.

354541154440 is an abundant number, since it is smaller than the sum of its proper divisors (561498213560).

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

354541154440 is a wasteful number, since it uses less digits than its factorization.

354541154440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42409270 (or 42409266 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 354541154440 its reverse (44451145453), we get a palindrome (398992299893).

The spelling of 354541154440 in words is "three hundred fifty-four billion, five hundred forty-one million, one hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 42409229 84818458 169636916 212046145 339273832 424092290 466501519 805775351 848184580 933003038 1611550702 1696369160 1866006076 2332507595 3223101404 3732012152 4028876755 4665015190 6446202808 8057753510 8863528861 9330030380 16115507020 17727057722 18660060760 32231014040 35454115444 44317644305 70908230888 88635288610 177270577220 354541154440