Search a number
-
+
400617070740 = 223258329267217
BaseRepresentation
bin1011101010001101010…
…00110110000010010100
31102022001200200210220200
411311012220312002110
523030430432230430
6504012502100500
740641443626035
oct5650650660224
91368050623820
10400617070740
1114499a98a817
1265785a1a730
132ba16432c63
1415566110a8c
15a64ab89460
hex5d46a36094

400617070740 has 72 divisors (see below), whose sum is σ = 1215355563240. Its totient is φ = 106817992704.

The previous prime is 400617070723. The next prime is 400617070741. The reversal of 400617070740 is 47070716004.

It can be written as a sum of positive squares in 4 ways, for example, as 72961572996 + 327655497744 = 270114^2 + 572412^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 400617070695 and 400617070704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400617070741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1365612 + ... + 1632828.

Almost surely, 2400617070740 is an apocalyptic number.

It is an amenable number.

400617070740 is an abundant number, since it is smaller than the sum of its proper divisors (814738492500).

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

400617070740 is a wasteful number, since it uses less digits than its factorization.

400617070740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275561 (or 275556 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

Adding to 400617070740 its reverse (47070716004), we get a palindrome (447687786744).

The spelling of 400617070740 in words is "four hundred billion, six hundred seventeen million, seventy thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8329 16658 24987 33316 41645 49974 74961 83290 99948 124935 149922 166580 249870 267217 299844 374805 499740 534434 749610 801651 1068868 1336085 1499220 1603302 2404953 2672170 3206604 4008255 4809906 5344340 8016510 9619812 12024765 16033020 24049530 48099060 2225650393 4451300786 6676951179 8902601572 11128251965 13353902358 20030853537 22256503930 26707804716 33384755895 40061707074 44513007860 66769511790 80123414148 100154267685 133539023580 200308535370 400617070740