Search a number
-
+
400552021001034 = 232713109242503951
BaseRepresentation
bin101101100010011001100100…
…0111011010000001101001010
31221112020101210001011111020100
41123010303020323100031022
5410000121014334013114
63535523020320510230
7150240633325005030
oct13304631073201512
91845211701144210
10400552021001034
111066a0181538131
1238b117b947b376
1314266b80056836
1470cab6d762550
153149425c66909
hex16c4cc8ed034a

400552021001034 has 48 divisors (see below), whose sum is σ = 991918764944640. Its totient is φ = 114434703957600.

The previous prime is 400552021001029. The next prime is 400552021001087. The reversal of 400552021001034 is 430100120255004.

400552021001034 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 520 + 2 + 100 + 1 + 0 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 400552021000989 and 400552021001007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119600242 + ... + 122903709.

It is an arithmetic number, because the mean of its divisors is an integer number (20664974269680).

Almost surely, 2400552021001034 is an apocalyptic number.

400552021001034 is an abundant number, since it is smaller than the sum of its proper divisors (591366743943606).

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

400552021001034 is a wasteful number, since it uses less digits than its factorization.

400552021001034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242517075 (or 242517072 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 400552021001034 its reverse (430100120255004), we get a palindrome (830652141256038).

The spelling of 400552021001034 in words is "four hundred trillion, five hundred fifty-two billion, twenty-one million, one thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 13109 26218 39327 78654 91763 117981 183526 235962 275289 550578 825867 1651734 242503951 485007902 727511853 1455023706 1697527657 2182535559 3395055314 4365071118 5092582971 10185165942 15277748913 30555497826 3178984293659 6357968587318 9536952880977 19073905761954 22252890055613 28610858642931 44505780111226 57221717285862 66758670166839 133517340333678 200276010500517 400552021001034